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Finding the Fourth Proportional to 82,384.66, 123,402 and 55,747

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Solution

The fourth proportional to 82,384.66, 123,402 and 55,747 is: 83,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,384.66 : 123,402 = 55,747 : x
  2. Step 2: Convert to fraction form
    82,384.66/123,402 = 55,747/x
  3. Step 3: Cross multiply
    82,384.66x = 123,402 × 55,747
  4. Step 4: Simplify right side
    82,384.66x = 6,879,291,294
  5. Step 5: Solve for x
    x = 6,879,291,294/82,384.66
  6. Step 6: Final answer
    x = 83,502.09

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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.