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Finding the Fourth Proportional to 151,763.64, 209,393.10 and 98,029.08

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Solution

The fourth proportional to 151,763.64, 209,393.10 and 98,029.08 is: 135,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,763.64 : 209,393.10 = 98,029.08 : x
  2. Step 2: Convert to fraction form
    151,763.64/209,393.10 = 98,029.08/x
  3. Step 3: Cross multiply
    151,763.64x = 209,393.10 × 98,029.08
  4. Step 4: Simplify right side
    151,763.64x = 20,526,612,951.35
  5. Step 5: Solve for x
    x = 20,526,612,951.35/151,763.64
  6. Step 6: Final answer
    x = 135,253.83

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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.