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Finding the Fourth Proportional to 52,476.80, 78,868.80 and 45,718.40

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Solution

The fourth proportional to 52,476.80, 78,868.80 and 45,718.40 is: 68,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,476.80 : 78,868.80 = 45,718.40 : x
  2. Step 2: Convert to fraction form
    52,476.80/78,868.80 = 45,718.40/x
  3. Step 3: Cross multiply
    52,476.80x = 78,868.80 × 45,718.40
  4. Step 4: Simplify right side
    52,476.80x = 3,605,755,345.92
  5. Step 5: Solve for x
    x = 3,605,755,345.92/52,476.80
  6. Step 6: Final answer
    x = 68,711.42

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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.