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Finding the Fourth Proportional to 287,541.96, 431,390.57 and 87,856.87

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Solution

The fourth proportional to 287,541.96, 431,390.57 and 87,856.87 is: 131,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,541.96 : 431,390.57 = 87,856.87 : x
  2. Step 2: Convert to fraction form
    287,541.96/431,390.57 = 87,856.87/x
  3. Step 3: Cross multiply
    287,541.96x = 431,390.57 × 87,856.87
  4. Step 4: Simplify right side
    287,541.96x = 37,900,625,227.72
  5. Step 5: Solve for x
    x = 37,900,625,227.72/287,541.96
  6. Step 6: Final answer
    x = 131,809.02

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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.