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Finding the Fourth Proportional to 78,882, 108,857.64 and 45,348.24

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Solution

The fourth proportional to 78,882, 108,857.64 and 45,348.24 is: 62,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,882 : 108,857.64 = 45,348.24 : x
  2. Step 2: Convert to fraction form
    78,882/108,857.64 = 45,348.24/x
  3. Step 3: Cross multiply
    78,882x = 108,857.64 × 45,348.24
  4. Step 4: Simplify right side
    78,882x = 4,936,502,384.55
  5. Step 5: Solve for x
    x = 4,936,502,384.55/78,882
  6. Step 6: Final answer
    x = 62,580.85

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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.