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Finding the Fourth Proportional to 97,430.92, 134,545.53 and 71,711.80

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Solution

The fourth proportional to 97,430.92, 134,545.53 and 71,711.80 is: 99,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,430.92 : 134,545.53 = 71,711.80 : x
  2. Step 2: Convert to fraction form
    97,430.92/134,545.53 = 71,711.80/x
  3. Step 3: Cross multiply
    97,430.92x = 134,545.53 × 71,711.80
  4. Step 4: Simplify right side
    97,430.92x = 9,648,502,138.25
  5. Step 5: Solve for x
    x = 9,648,502,138.25/97,430.92
  6. Step 6: Final answer
    x = 99,029.16

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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.