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Finding the Fourth Proportional to 151,857.12, 209,559.12 and 83,879.76

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Solution

The fourth proportional to 151,857.12, 209,559.12 and 83,879.76 is: 115,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,857.12 : 209,559.12 = 83,879.76 : x
  2. Step 2: Convert to fraction form
    151,857.12/209,559.12 = 83,879.76/x
  3. Step 3: Cross multiply
    151,857.12x = 209,559.12 × 83,879.76
  4. Step 4: Simplify right side
    151,857.12x = 17,577,768,691.41
  5. Step 5: Solve for x
    x = 17,577,768,691.41/151,857.12
  6. Step 6: Final answer
    x = 115,752.02

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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.