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Finding the Fourth Proportional to 287,063.20, 430,545.12 and 87,335.20

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Solution

The fourth proportional to 287,063.20, 430,545.12 and 87,335.20 is: 130,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,063.20 : 430,545.12 = 87,335.20 : x
  2. Step 2: Convert to fraction form
    287,063.20/430,545.12 = 87,335.20/x
  3. Step 3: Cross multiply
    287,063.20x = 430,545.12 × 87,335.20
  4. Step 4: Simplify right side
    287,063.20x = 37,601,744,164.22
  5. Step 5: Solve for x
    x = 37,601,744,164.22/287,063.20
  6. Step 6: Final answer
    x = 130,987.69

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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.