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Finding the Fourth Proportional to 123,677.84, 185,527.12 and 39,450.08

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Solution

The fourth proportional to 123,677.84, 185,527.12 and 39,450.08 is: 59,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,677.84 : 185,527.12 = 39,450.08 : x
  2. Step 2: Convert to fraction form
    123,677.84/185,527.12 = 39,450.08/x
  3. Step 3: Cross multiply
    123,677.84x = 185,527.12 × 39,450.08
  4. Step 4: Simplify right side
    123,677.84x = 7,319,059,726.17
  5. Step 5: Solve for x
    x = 7,319,059,726.17/123,677.84
  6. Step 6: Final answer
    x = 59,178.42

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1.5x scale

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.