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Finding the Fourth Proportional to 71,032.61, 98,021.91 and 38,766.40

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Solution

The fourth proportional to 71,032.61, 98,021.91 and 38,766.40 is: 53,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,032.61 : 98,021.91 = 38,766.40 : x
  2. Step 2: Convert to fraction form
    71,032.61/98,021.91 = 38,766.40/x
  3. Step 3: Cross multiply
    71,032.61x = 98,021.91 × 38,766.40
  4. Step 4: Simplify right side
    71,032.61x = 3,799,956,472.14
  5. Step 5: Solve for x
    x = 3,799,956,472.14/71,032.61
  6. Step 6: Final answer
    x = 53,495.94

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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.