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Finding the Fourth Proportional to 83,384.88, 115,071.22 and 45,144.46

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Solution

The fourth proportional to 83,384.88, 115,071.22 and 45,144.46 is: 62,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,384.88 : 115,071.22 = 45,144.46 : x
  2. Step 2: Convert to fraction form
    83,384.88/115,071.22 = 45,144.46/x
  3. Step 3: Cross multiply
    83,384.88x = 115,071.22 × 45,144.46
  4. Step 4: Simplify right side
    83,384.88x = 5,194,827,872.95
  5. Step 5: Solve for x
    x = 5,194,827,872.95/83,384.88
  6. Step 6: Final answer
    x = 62,299.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.