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Finding the Fourth Proportional to 125,156, 187,732 and 30,386.96

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Solution

The fourth proportional to 125,156, 187,732 and 30,386.96 is: 45,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,156 : 187,732 = 30,386.96 : x
  2. Step 2: Convert to fraction form
    125,156/187,732 = 30,386.96/x
  3. Step 3: Cross multiply
    125,156x = 187,732 × 30,386.96
  4. Step 4: Simplify right side
    125,156x = 5,704,604,774.72
  5. Step 5: Solve for x
    x = 5,704,604,774.72/125,156
  6. Step 6: Final answer
    x = 45,579.95

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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.