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Finding the Fourth Proportional to 136,498.60, 204,777.05 and 47,755

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Solution

The fourth proportional to 136,498.60, 204,777.05 and 47,755 is: 71,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,498.60 : 204,777.05 = 47,755 : x
  2. Step 2: Convert to fraction form
    136,498.60/204,777.05 = 47,755/x
  3. Step 3: Cross multiply
    136,498.60x = 204,777.05 × 47,755
  4. Step 4: Simplify right side
    136,498.60x = 9,779,128,022.75
  5. Step 5: Solve for x
    x = 9,779,128,022.75/136,498.60
  6. Step 6: Final answer
    x = 71,642.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.