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Finding the Fourth Proportional to 52,472.80, 78,862.80 and 45,714.40

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Solution

The fourth proportional to 52,472.80, 78,862.80 and 45,714.40 is: 68,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,472.80 : 78,862.80 = 45,714.40 : x
  2. Step 2: Convert to fraction form
    52,472.80/78,862.80 = 45,714.40/x
  3. Step 3: Cross multiply
    52,472.80x = 78,862.80 × 45,714.40
  4. Step 4: Simplify right side
    52,472.80x = 3,605,165,584.32
  5. Step 5: Solve for x
    x = 3,605,165,584.32/52,472.80
  6. Step 6: Final answer
    x = 68,705.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.