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Finding the Fourth Proportional to 129,165.84, 178,264.80 and 72,576

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Solution

The fourth proportional to 129,165.84, 178,264.80 and 72,576 is: 100,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,165.84 : 178,264.80 = 72,576 : x
  2. Step 2: Convert to fraction form
    129,165.84/178,264.80 = 72,576/x
  3. Step 3: Cross multiply
    129,165.84x = 178,264.80 × 72,576
  4. Step 4: Simplify right side
    129,165.84x = 12,937,746,124.80
  5. Step 5: Solve for x
    x = 12,937,746,124.80/129,165.84
  6. Step 6: Final answer
    x = 100,163.84

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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.