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Finding the Fourth Proportional to 130,712, 180,382.72 and 71,096

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Solution

The fourth proportional to 130,712, 180,382.72 and 71,096 is: 98,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,712 : 180,382.72 = 71,096 : x
  2. Step 2: Convert to fraction form
    130,712/180,382.72 = 71,096/x
  3. Step 3: Cross multiply
    130,712x = 180,382.72 × 71,096
  4. Step 4: Simplify right side
    130,712x = 12,824,489,861.12
  5. Step 5: Solve for x
    x = 12,824,489,861.12/130,712
  6. Step 6: Final answer
    x = 98,112.57

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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.