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Finding the Fourth Proportional to 78,534.95, 116,914.19 and 78,067.88

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Solution

The fourth proportional to 78,534.95, 116,914.19 and 78,067.88 is: 116,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,534.95 : 116,914.19 = 78,067.88 : x
  2. Step 2: Convert to fraction form
    78,534.95/116,914.19 = 78,067.88/x
  3. Step 3: Cross multiply
    78,534.95x = 116,914.19 × 78,067.88
  4. Step 4: Simplify right side
    78,534.95x = 9,127,241,980.31
  5. Step 5: Solve for x
    x = 9,127,241,980.31/78,534.95
  6. Step 6: Final answer
    x = 116,218.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.