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Finding the Fourth Proportional to 130,984, 180,757.92 and 71,368

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Solution

The fourth proportional to 130,984, 180,757.92 and 71,368 is: 98,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,984 : 180,757.92 = 71,368 : x
  2. Step 2: Convert to fraction form
    130,984/180,757.92 = 71,368/x
  3. Step 3: Cross multiply
    130,984x = 180,757.92 × 71,368
  4. Step 4: Simplify right side
    130,984x = 12,900,331,234.56
  5. Step 5: Solve for x
    x = 12,900,331,234.56/130,984
  6. Step 6: Final answer
    x = 98,487.84

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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.