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Finding the Fourth Proportional to 287,690.30, 431,567.85 and 88,009.10

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Solution

The fourth proportional to 287,690.30, 431,567.85 and 88,009.10 is: 132,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,690.30 : 431,567.85 = 88,009.10 : x
  2. Step 2: Convert to fraction form
    287,690.30/431,567.85 = 88,009.10/x
  3. Step 3: Cross multiply
    287,690.30x = 431,567.85 × 88,009.10
  4. Step 4: Simplify right side
    287,690.30x = 37,981,898,067.44
  5. Step 5: Solve for x
    x = 37,981,898,067.44/287,690.30
  6. Step 6: Final answer
    x = 132,023.56

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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.