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Finding the Fourth Proportional to 78,160.52, 107,863.53 and 47,962.53

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Solution

The fourth proportional to 78,160.52, 107,863.53 and 47,962.53 is: 66,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,160.52 : 107,863.53 = 47,962.53 : x
  2. Step 2: Convert to fraction form
    78,160.52/107,863.53 = 47,962.53/x
  3. Step 3: Cross multiply
    78,160.52x = 107,863.53 × 47,962.53
  4. Step 4: Simplify right side
    78,160.52x = 5,173,407,793.53
  5. Step 5: Solve for x
    x = 5,173,407,793.53/78,160.52
  6. Step 6: Final answer
    x = 66,189.52

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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.