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Finding the Fourth Proportional to 78,503.58, 108,335.73 and 42,694.40

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Solution

The fourth proportional to 78,503.58, 108,335.73 and 42,694.40 is: 58,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,503.58 : 108,335.73 = 42,694.40 : x
  2. Step 2: Convert to fraction form
    78,503.58/108,335.73 = 42,694.40/x
  3. Step 3: Cross multiply
    78,503.58x = 108,335.73 × 42,694.40
  4. Step 4: Simplify right side
    78,503.58x = 4,625,328,449.23
  5. Step 5: Solve for x
    x = 4,625,328,449.23/78,503.58
  6. Step 6: Final answer
    x = 58,918.69

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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.