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Finding the Fourth Proportional to 78,217.25, 107,931.81 and 48,003.84

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Solution

The fourth proportional to 78,217.25, 107,931.81 and 48,003.84 is: 66,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,217.25 : 107,931.81 = 48,003.84 : x
  2. Step 2: Convert to fraction form
    78,217.25/107,931.81 = 48,003.84/x
  3. Step 3: Cross multiply
    78,217.25x = 107,931.81 × 48,003.84
  4. Step 4: Simplify right side
    78,217.25x = 5,181,141,248.14
  5. Step 5: Solve for x
    x = 5,181,141,248.14/78,217.25
  6. Step 6: Final answer
    x = 66,240.40

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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.