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Finding the Fourth Proportional to 129,152.80, 178,208.40 and 72,566.56

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Solution

The fourth proportional to 129,152.80, 178,208.40 and 72,566.56 is: 100,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,152.80 : 178,208.40 = 72,566.56 : x
  2. Step 2: Convert to fraction form
    129,152.80/178,208.40 = 72,566.56/x
  3. Step 3: Cross multiply
    129,152.80x = 178,208.40 × 72,566.56
  4. Step 4: Simplify right side
    129,152.80x = 12,931,970,551.10
  5. Step 5: Solve for x
    x = 12,931,970,551.10/129,152.80
  6. Step 6: Final answer
    x = 100,129.23

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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.