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Finding the Fourth Proportional to 78,218.87, 107,934.05 and 48,005.47

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Solution

The fourth proportional to 78,218.87, 107,934.05 and 48,005.47 is: 66,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,218.87 : 107,934.05 = 48,005.47 : x
  2. Step 2: Convert to fraction form
    78,218.87/107,934.05 = 48,005.47/x
  3. Step 3: Cross multiply
    78,218.87x = 107,934.05 × 48,005.47
  4. Step 4: Simplify right side
    78,218.87x = 5,181,424,019.56
  5. Step 5: Solve for x
    x = 5,181,424,019.56/78,218.87
  6. Step 6: Final answer
    x = 66,242.63

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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.