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Finding the Fourth Proportional to 152,129.70, 209,869.14 and 98,432.22

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Solution

The fourth proportional to 152,129.70, 209,869.14 and 98,432.22 is: 135,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,129.70 : 209,869.14 = 98,432.22 : x
  2. Step 2: Convert to fraction form
    152,129.70/209,869.14 = 98,432.22/x
  3. Step 3: Cross multiply
    152,129.70x = 209,869.14 × 98,432.22
  4. Step 4: Simplify right side
    152,129.70x = 20,657,885,359.69
  5. Step 5: Solve for x
    x = 20,657,885,359.69/152,129.70
  6. Step 6: Final answer
    x = 135,791.27

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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.