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Finding the Fourth Proportional to 116,108.64, 160,231.76 and 65,132.70

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Solution

The fourth proportional to 116,108.64, 160,231.76 and 65,132.70 is: 89,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,108.64 : 160,231.76 = 65,132.70 : x
  2. Step 2: Convert to fraction form
    116,108.64/160,231.76 = 65,132.70/x
  3. Step 3: Cross multiply
    116,108.64x = 160,231.76 × 65,132.70
  4. Step 4: Simplify right side
    116,108.64x = 10,436,327,154.55
  5. Step 5: Solve for x
    x = 10,436,327,154.55/116,108.64
  6. Step 6: Final answer
    x = 89,884.16

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1.5x scale

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.