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Finding the Fourth Proportional to 92,493.40, 138,740.10 and 78,715.30

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Solution

The fourth proportional to 92,493.40, 138,740.10 and 78,715.30 is: 118,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,493.40 : 138,740.10 = 78,715.30 : x
  2. Step 2: Convert to fraction form
    92,493.40/138,740.10 = 78,715.30/x
  3. Step 3: Cross multiply
    92,493.40x = 138,740.10 × 78,715.30
  4. Step 4: Simplify right side
    92,493.40x = 10,920,968,593.53
  5. Step 5: Solve for x
    x = 10,920,968,593.53/92,493.40
  6. Step 6: Final answer
    x = 118,072.95

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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.