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Finding the Fourth Proportional to 55,871.40, 83,807.10 and 49,747.80

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Solution

The fourth proportional to 55,871.40, 83,807.10 and 49,747.80 is: 74,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,871.40 : 83,807.10 = 49,747.80 : x
  2. Step 2: Convert to fraction form
    55,871.40/83,807.10 = 49,747.80/x
  3. Step 3: Cross multiply
    55,871.40x = 83,807.10 × 49,747.80
  4. Step 4: Simplify right side
    55,871.40x = 4,169,218,849.38
  5. Step 5: Solve for x
    x = 4,169,218,849.38/55,871.40
  6. Step 6: Final answer
    x = 74,621.70

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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.