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Finding the Fourth Proportional to 78,219.87, 107,935.42 and 48,006.47

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Solution

The fourth proportional to 78,219.87, 107,935.42 and 48,006.47 is: 66,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,219.87 : 107,935.42 = 48,006.47 : x
  2. Step 2: Convert to fraction form
    78,219.87/107,935.42 = 48,006.47/x
  3. Step 3: Cross multiply
    78,219.87x = 107,935.42 × 48,006.47
  4. Step 4: Simplify right side
    78,219.87x = 5,181,598,502.17
  5. Step 5: Solve for x
    x = 5,181,598,502.17/78,219.87
  6. Step 6: Final answer
    x = 66,244.02

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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.