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Finding the Fourth Proportional to 78,880, 118,337.28 and 29,632

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Solution

The fourth proportional to 78,880, 118,337.28 and 29,632 is: 44,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,880 : 118,337.28 = 29,632 : x
  2. Step 2: Convert to fraction form
    78,880/118,337.28 = 29,632/x
  3. Step 3: Cross multiply
    78,880x = 118,337.28 × 29,632
  4. Step 4: Simplify right side
    78,880x = 3,506,570,280.96
  5. Step 5: Solve for x
    x = 3,506,570,280.96/78,880
  6. Step 6: Final answer
    x = 44,454.49

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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.