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Finding the Fourth Proportional to 287,380.65, 431,070.98 and 87,702.06

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Solution

The fourth proportional to 287,380.65, 431,070.98 and 87,702.06 is: 131,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,380.65 : 431,070.98 = 87,702.06 : x
  2. Step 2: Convert to fraction form
    287,380.65/431,070.98 = 87,702.06/x
  3. Step 3: Cross multiply
    287,380.65x = 431,070.98 × 87,702.06
  4. Step 4: Simplify right side
    287,380.65x = 37,805,812,952.22
  5. Step 5: Solve for x
    x = 37,805,812,952.22/287,380.65
  6. Step 6: Final answer
    x = 131,553.09

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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.