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Finding the Fourth Proportional to 129,244.64, 178,373.68 and 72,656.06

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Solution

The fourth proportional to 129,244.64, 178,373.68 and 72,656.06 is: 100,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,244.64 : 178,373.68 = 72,656.06 : x
  2. Step 2: Convert to fraction form
    129,244.64/178,373.68 = 72,656.06/x
  3. Step 3: Cross multiply
    129,244.64x = 178,373.68 × 72,656.06
  4. Step 4: Simplify right side
    129,244.64x = 12,959,928,796.50
  5. Step 5: Solve for x
    x = 12,959,928,796.50/129,244.64
  6. Step 6: Final answer
    x = 100,274.40

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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.