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Finding the Fourth Proportional to 123,564.88, 185,280.90 and 39,302.20

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Solution

The fourth proportional to 123,564.88, 185,280.90 and 39,302.20 is: 58,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,564.88 : 185,280.90 = 39,302.20 : x
  2. Step 2: Convert to fraction form
    123,564.88/185,280.90 = 39,302.20/x
  3. Step 3: Cross multiply
    123,564.88x = 185,280.90 × 39,302.20
  4. Step 4: Simplify right side
    123,564.88x = 7,281,946,987.98
  5. Step 5: Solve for x
    x = 7,281,946,987.98/123,564.88
  6. Step 6: Final answer
    x = 58,932.17

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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.