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Finding the Fourth Proportional to 92,440.80, 138,617.28 and 45,639

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Solution

The fourth proportional to 92,440.80, 138,617.28 and 45,639 is: 68,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,440.80 : 138,617.28 = 45,639 : x
  2. Step 2: Convert to fraction form
    92,440.80/138,617.28 = 45,639/x
  3. Step 3: Cross multiply
    92,440.80x = 138,617.28 × 45,639
  4. Step 4: Simplify right side
    92,440.80x = 6,326,354,041.92
  5. Step 5: Solve for x
    x = 6,326,354,041.92/92,440.80
  6. Step 6: Final answer
    x = 68,436.82

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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.