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Finding the Fourth Proportional to 71,702.69, 98,945.63 and 39,870.90

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Solution

The fourth proportional to 71,702.69, 98,945.63 and 39,870.90 is: 55,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,702.69 : 98,945.63 = 39,870.90 : x
  2. Step 2: Convert to fraction form
    71,702.69/98,945.63 = 39,870.90/x
  3. Step 3: Cross multiply
    71,702.69x = 98,945.63 × 39,870.90
  4. Step 4: Simplify right side
    71,702.69x = 3,945,051,319.17
  5. Step 5: Solve for x
    x = 3,945,051,319.17/71,702.69
  6. Step 6: Final answer
    x = 55,019.58

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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.