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Finding the Fourth Proportional to 251,988.82, 378,023.32 and 83,515.10

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Solution

The fourth proportional to 251,988.82, 378,023.32 and 83,515.10 is: 125,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,988.82 : 378,023.32 = 83,515.10 : x
  2. Step 2: Convert to fraction form
    251,988.82/378,023.32 = 83,515.10/x
  3. Step 3: Cross multiply
    251,988.82x = 378,023.32 × 83,515.10
  4. Step 4: Simplify right side
    251,988.82x = 31,570,655,372.13
  5. Step 5: Solve for x
    x = 31,570,655,372.13/251,988.82
  6. Step 6: Final answer
    x = 125,285.94

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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.