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Finding the Fourth Proportional to 78,273.77, 108,017.84 and 42,463.78

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Solution

The fourth proportional to 78,273.77, 108,017.84 and 42,463.78 is: 58,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,273.77 : 108,017.84 = 42,463.78 : x
  2. Step 2: Convert to fraction form
    78,273.77/108,017.84 = 42,463.78/x
  3. Step 3: Cross multiply
    78,273.77x = 108,017.84 × 42,463.78
  4. Step 4: Simplify right side
    78,273.77x = 4,586,845,342.39
  5. Step 5: Solve for x
    x = 4,586,845,342.39/78,273.77
  6. Step 6: Final answer
    x = 58,600.03

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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.