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Finding the Fourth Proportional to 129,477.84, 178,682.76 and 72,891.24

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Solution

The fourth proportional to 129,477.84, 178,682.76 and 72,891.24 is: 100,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,477.84 : 178,682.76 = 72,891.24 : x
  2. Step 2: Convert to fraction form
    129,477.84/178,682.76 = 72,891.24/x
  3. Step 3: Cross multiply
    129,477.84x = 178,682.76 × 72,891.24
  4. Step 4: Simplify right side
    129,477.84x = 13,024,407,943.02
  5. Step 5: Solve for x
    x = 13,024,407,943.02/129,477.84
  6. Step 6: Final answer
    x = 100,591.79

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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.