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Finding the Fourth Proportional to 278,704, 418,125.44 and 81,712

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Solution

The fourth proportional to 278,704, 418,125.44 and 81,712 is: 122,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,704 : 418,125.44 = 81,712 : x
  2. Step 2: Convert to fraction form
    278,704/418,125.44 = 81,712/x
  3. Step 3: Cross multiply
    278,704x = 418,125.44 × 81,712
  4. Step 4: Simplify right side
    278,704x = 34,165,865,953.28
  5. Step 5: Solve for x
    x = 34,165,865,953.28/278,704
  6. Step 6: Final answer
    x = 122,588.36

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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.