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Finding the Fourth Proportional to 145,042.84, 217,554.54 and 39,853

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Solution

The fourth proportional to 145,042.84, 217,554.54 and 39,853 is: 59,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,042.84 : 217,554.54 = 39,853 : x
  2. Step 2: Convert to fraction form
    145,042.84/217,554.54 = 39,853/x
  3. Step 3: Cross multiply
    145,042.84x = 217,554.54 × 39,853
  4. Step 4: Simplify right side
    145,042.84x = 8,670,201,082.62
  5. Step 5: Solve for x
    x = 8,670,201,082.62/145,042.84
  6. Step 6: Final answer
    x = 59,776.83

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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.