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Finding the Fourth Proportional to 78,702.28, 108,605.97 and 42,891.51

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Solution

The fourth proportional to 78,702.28, 108,605.97 and 42,891.51 is: 59,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,702.28 : 108,605.97 = 42,891.51 : x
  2. Step 2: Convert to fraction form
    78,702.28/108,605.97 = 42,891.51/x
  3. Step 3: Cross multiply
    78,702.28x = 108,605.97 × 42,891.51
  4. Step 4: Simplify right side
    78,702.28x = 4,658,274,048.31
  5. Step 5: Solve for x
    x = 4,658,274,048.31/78,702.28
  6. Step 6: Final answer
    x = 59,188.55

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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.