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Finding the Fourth Proportional to 78,218.85, 107,930.70 and 43,763.37

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Solution

The fourth proportional to 78,218.85, 107,930.70 and 43,763.37 is: 60,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,218.85 : 107,930.70 = 43,763.37 : x
  2. Step 2: Convert to fraction form
    78,218.85/107,930.70 = 43,763.37/x
  3. Step 3: Cross multiply
    78,218.85x = 107,930.70 × 43,763.37
  4. Step 4: Simplify right side
    78,218.85x = 4,723,411,158.46
  5. Step 5: Solve for x
    x = 4,723,411,158.46/78,218.85
  6. Step 6: Final answer
    x = 60,387.12

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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.