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Finding the Fourth Proportional to 137,417, 189,635.48 and 77,801

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Solution

The fourth proportional to 137,417, 189,635.48 and 77,801 is: 107,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,417 : 189,635.48 = 77,801 : x
  2. Step 2: Convert to fraction form
    137,417/189,635.48 = 77,801/x
  3. Step 3: Cross multiply
    137,417x = 189,635.48 × 77,801
  4. Step 4: Simplify right side
    137,417x = 14,753,829,979.48
  5. Step 5: Solve for x
    x = 14,753,829,979.48/137,417
  6. Step 6: Final answer
    x = 107,365.39

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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.