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Finding the Fourth Proportional to 110,115.52, 152,005.96 and 74,354

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Solution

The fourth proportional to 110,115.52, 152,005.96 and 74,354 is: 102,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,115.52 : 152,005.96 = 74,354 : x
  2. Step 2: Convert to fraction form
    110,115.52/152,005.96 = 74,354/x
  3. Step 3: Cross multiply
    110,115.52x = 152,005.96 × 74,354
  4. Step 4: Simplify right side
    110,115.52x = 11,302,251,149.84
  5. Step 5: Solve for x
    x = 11,302,251,149.84/110,115.52
  6. Step 6: Final answer
    x = 102,639.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.