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Finding the Fourth Proportional to 180,010.30, 270,015.45 and 130,438.30

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Solution

The fourth proportional to 180,010.30, 270,015.45 and 130,438.30 is: 195,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,010.30 : 270,015.45 = 130,438.30 : x
  2. Step 2: Convert to fraction form
    180,010.30/270,015.45 = 130,438.30/x
  3. Step 3: Cross multiply
    180,010.30x = 270,015.45 × 130,438.30
  4. Step 4: Simplify right side
    180,010.30x = 35,220,356,271.74
  5. Step 5: Solve for x
    x = 35,220,356,271.74/180,010.30
  6. Step 6: Final answer
    x = 195,657.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.