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Finding the Fourth Proportional to 78,053.28, 107,766.28 and 51,241.38

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Solution

The fourth proportional to 78,053.28, 107,766.28 and 51,241.38 is: 70,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,053.28 : 107,766.28 = 51,241.38 : x
  2. Step 2: Convert to fraction form
    78,053.28/107,766.28 = 51,241.38/x
  3. Step 3: Cross multiply
    78,053.28x = 107,766.28 × 51,241.38
  4. Step 4: Simplify right side
    78,053.28x = 5,522,092,904.67
  5. Step 5: Solve for x
    x = 5,522,092,904.67/78,053.28
  6. Step 6: Final answer
    x = 70,747.74

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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.