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Finding the Fourth Proportional to 92,442.30, 138,972.81 and 72,955.74

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Solution

The fourth proportional to 92,442.30, 138,972.81 and 72,955.74 is: 109,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,442.30 : 138,972.81 = 72,955.74 : x
  2. Step 2: Convert to fraction form
    92,442.30/138,972.81 = 72,955.74/x
  3. Step 3: Cross multiply
    92,442.30x = 138,972.81 × 72,955.74
  4. Step 4: Simplify right side
    92,442.30x = 10,138,864,193.43
  5. Step 5: Solve for x
    x = 10,138,864,193.43/92,442.30
  6. Step 6: Final answer
    x = 109,677.76

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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.