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Finding the Fourth Proportional to 78,602.97, 108,474.05 and 42,794.95

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Solution

The fourth proportional to 78,602.97, 108,474.05 and 42,794.95 is: 59,058.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,602.97 : 108,474.05 = 42,794.95 : x
  2. Step 2: Convert to fraction form
    78,602.97/108,474.05 = 42,794.95/x
  3. Step 3: Cross multiply
    78,602.97x = 108,474.05 × 42,794.95
  4. Step 4: Simplify right side
    78,602.97x = 4,642,141,003.68
  5. Step 5: Solve for x
    x = 4,642,141,003.68/78,602.97
  6. Step 6: Final answer
    x = 59,058.09

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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.