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Finding the Fourth Proportional to 145,006.84, 217,500.54 and 39,817

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Solution

The fourth proportional to 145,006.84, 217,500.54 and 39,817 is: 59,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,006.84 : 217,500.54 = 39,817 : x
  2. Step 2: Convert to fraction form
    145,006.84/217,500.54 = 39,817/x
  3. Step 3: Cross multiply
    145,006.84x = 217,500.54 × 39,817
  4. Step 4: Simplify right side
    145,006.84x = 8,660,219,001.18
  5. Step 5: Solve for x
    x = 8,660,219,001.18/145,006.84
  6. Step 6: Final answer
    x = 59,722.83

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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.