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Finding the Fourth Proportional to 129,461.84, 178,660.72 and 72,875.28

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Solution

The fourth proportional to 129,461.84, 178,660.72 and 72,875.28 is: 100,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,461.84 : 178,660.72 = 72,875.28 : x
  2. Step 2: Convert to fraction form
    129,461.84/178,660.72 = 72,875.28/x
  3. Step 3: Cross multiply
    129,461.84x = 178,660.72 × 72,875.28
  4. Step 4: Simplify right side
    129,461.84x = 13,019,949,995.00
  5. Step 5: Solve for x
    x = 13,019,949,995.00/129,461.84
  6. Step 6: Final answer
    x = 100,569.79

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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.