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Finding the Fourth Proportional to 55,909.40, 83,864.10 and 45,411.80

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Solution

The fourth proportional to 55,909.40, 83,864.10 and 45,411.80 is: 68,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,909.40 : 83,864.10 = 45,411.80 : x
  2. Step 2: Convert to fraction form
    55,909.40/83,864.10 = 45,411.80/x
  3. Step 3: Cross multiply
    55,909.40x = 83,864.10 × 45,411.80
  4. Step 4: Simplify right side
    55,909.40x = 3,808,419,736.38
  5. Step 5: Solve for x
    x = 3,808,419,736.38/55,909.40
  6. Step 6: Final answer
    x = 68,117.70

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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.