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Finding the Fourth Proportional to 287,605.90, 431,371.05 and 87,946.30

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Solution

The fourth proportional to 287,605.90, 431,371.05 and 87,946.30 is: 131,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,605.90 : 431,371.05 = 87,946.30 : x
  2. Step 2: Convert to fraction form
    287,605.90/431,371.05 = 87,946.30/x
  3. Step 3: Cross multiply
    287,605.90x = 431,371.05 × 87,946.30
  4. Step 4: Simplify right side
    287,605.90x = 37,937,487,774.62
  5. Step 5: Solve for x
    x = 37,937,487,774.62/287,605.90
  6. Step 6: Final answer
    x = 131,907.89

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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.