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Finding the Fourth Proportional to 130,200.40, 195,130.50 and 71,020.18

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Solution

The fourth proportional to 130,200.40, 195,130.50 and 71,020.18 is: 106,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,200.40 : 195,130.50 = 71,020.18 : x
  2. Step 2: Convert to fraction form
    130,200.40/195,130.50 = 71,020.18/x
  3. Step 3: Cross multiply
    130,200.40x = 195,130.50 × 71,020.18
  4. Step 4: Simplify right side
    130,200.40x = 13,858,203,233.49
  5. Step 5: Solve for x
    x = 13,858,203,233.49/130,200.40
  6. Step 6: Final answer
    x = 106,437.49

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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.