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Finding the Fourth Proportional to 287,883.32, 431,886.94 and 88,217.50

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Solution

The fourth proportional to 287,883.32, 431,886.94 and 88,217.50 is: 132,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,883.32 : 431,886.94 = 88,217.50 : x
  2. Step 2: Convert to fraction form
    287,883.32/431,886.94 = 88,217.50/x
  3. Step 3: Cross multiply
    287,883.32x = 431,886.94 × 88,217.50
  4. Step 4: Simplify right side
    287,883.32x = 38,099,986,129.45
  5. Step 5: Solve for x
    x = 38,099,986,129.45/287,883.32
  6. Step 6: Final answer
    x = 132,345.24

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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.