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Finding the Fourth Proportional to 84,877.88, 127,319.45 and 31,583.12

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Solution

The fourth proportional to 84,877.88, 127,319.45 and 31,583.12 is: 47,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,877.88 : 127,319.45 = 31,583.12 : x
  2. Step 2: Convert to fraction form
    84,877.88/127,319.45 = 31,583.12/x
  3. Step 3: Cross multiply
    84,877.88x = 127,319.45 × 31,583.12
  4. Step 4: Simplify right side
    84,877.88x = 4,021,144,673.17
  5. Step 5: Solve for x
    x = 4,021,144,673.17/84,877.88
  6. Step 6: Final answer
    x = 47,375.65

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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.