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Finding the Fourth Proportional to 71,702.57, 98,948.30 and 39,870.78

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Solution

The fourth proportional to 71,702.57, 98,948.30 and 39,870.78 is: 55,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,702.57 : 98,948.30 = 39,870.78 : x
  2. Step 2: Convert to fraction form
    71,702.57/98,948.30 = 39,870.78/x
  3. Step 3: Cross multiply
    71,702.57x = 98,948.30 × 39,870.78
  4. Step 4: Simplify right side
    71,702.57x = 3,945,145,701.32
  5. Step 5: Solve for x
    x = 3,945,145,701.32/71,702.57
  6. Step 6: Final answer
    x = 55,020.98

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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.