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Finding the Fourth Proportional to 137,469.88, 189,702.70 and 77,853.88

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Solution

The fourth proportional to 137,469.88, 189,702.70 and 77,853.88 is: 107,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,469.88 : 189,702.70 = 77,853.88 : x
  2. Step 2: Convert to fraction form
    137,469.88/189,702.70 = 77,853.88/x
  3. Step 3: Cross multiply
    137,469.88x = 189,702.70 × 77,853.88
  4. Step 4: Simplify right side
    137,469.88x = 14,769,091,241.48
  5. Step 5: Solve for x
    x = 14,769,091,241.48/137,469.88
  6. Step 6: Final answer
    x = 107,435.11

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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.