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Finding the Fourth Proportional to 72,537.68, 100,077 and 40,702.16

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Solution

The fourth proportional to 72,537.68, 100,077 and 40,702.16 is: 56,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,537.68 : 100,077 = 40,702.16 : x
  2. Step 2: Convert to fraction form
    72,537.68/100,077 = 40,702.16/x
  3. Step 3: Cross multiply
    72,537.68x = 100,077 × 40,702.16
  4. Step 4: Simplify right side
    72,537.68x = 4,073,350,066.32
  5. Step 5: Solve for x
    x = 4,073,350,066.32/72,537.68
  6. Step 6: Final answer
    x = 56,154.95

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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.