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Finding the Fourth Proportional to 71,702.84, 98,952.32 and 39,438.83

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Solution

The fourth proportional to 71,702.84, 98,952.32 and 39,438.83 is: 54,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,702.84 : 98,952.32 = 39,438.83 : x
  2. Step 2: Convert to fraction form
    71,702.84/98,952.32 = 39,438.83/x
  3. Step 3: Cross multiply
    71,702.84x = 98,952.32 × 39,438.83
  4. Step 4: Simplify right side
    71,702.84x = 3,902,563,330.42
  5. Step 5: Solve for x
    x = 3,902,563,330.42/71,702.84
  6. Step 6: Final answer
    x = 54,426.90

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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.