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Finding the Fourth Proportional to 130,960, 180,724.80 and 71,344

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Solution

The fourth proportional to 130,960, 180,724.80 and 71,344 is: 98,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,960 : 180,724.80 = 71,344 : x
  2. Step 2: Convert to fraction form
    130,960/180,724.80 = 71,344/x
  3. Step 3: Cross multiply
    130,960x = 180,724.80 × 71,344
  4. Step 4: Simplify right side
    130,960x = 12,893,630,131.20
  5. Step 5: Solve for x
    x = 12,893,630,131.20/130,960
  6. Step 6: Final answer
    x = 98,454.72

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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.