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Finding the Fourth Proportional to 90,709.12, 125,135.04 and 78,112

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Solution

The fourth proportional to 90,709.12, 125,135.04 and 78,112 is: 107,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,709.12 : 125,135.04 = 78,112 : x
  2. Step 2: Convert to fraction form
    90,709.12/125,135.04 = 78,112/x
  3. Step 3: Cross multiply
    90,709.12x = 125,135.04 × 78,112
  4. Step 4: Simplify right side
    90,709.12x = 9,774,548,244.48
  5. Step 5: Solve for x
    x = 9,774,548,244.48/90,709.12
  6. Step 6: Final answer
    x = 107,757.06

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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.