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Finding the Fourth Proportional to 130,762.50, 180,452.25 and 71,146.50

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Solution

The fourth proportional to 130,762.50, 180,452.25 and 71,146.50 is: 98,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,762.50 : 180,452.25 = 71,146.50 : x
  2. Step 2: Convert to fraction form
    130,762.50/180,452.25 = 71,146.50/x
  3. Step 3: Cross multiply
    130,762.50x = 180,452.25 × 71,146.50
  4. Step 4: Simplify right side
    130,762.50x = 12,838,546,004.63
  5. Step 5: Solve for x
    x = 12,838,546,004.63/130,762.50
  6. Step 6: Final answer
    x = 98,182.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.