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Finding the Fourth Proportional to 83,720.16, 115,531.87 and 45,478.84

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Solution

The fourth proportional to 83,720.16, 115,531.87 and 45,478.84 is: 62,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,720.16 : 115,531.87 = 45,478.84 : x
  2. Step 2: Convert to fraction form
    83,720.16/115,531.87 = 45,478.84/x
  3. Step 3: Cross multiply
    83,720.16x = 115,531.87 × 45,478.84
  4. Step 4: Simplify right side
    83,720.16x = 5,254,255,654.93
  5. Step 5: Solve for x
    x = 5,254,255,654.93/83,720.16
  6. Step 6: Final answer
    x = 62,759.74

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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.