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Finding the Fourth Proportional to 122,167.31, 182,415.35 and 109,434.87

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Solution

The fourth proportional to 122,167.31, 182,415.35 and 109,434.87 is: 163,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,167.31 : 182,415.35 = 109,434.87 : x
  2. Step 2: Convert to fraction form
    122,167.31/182,415.35 = 109,434.87/x
  3. Step 3: Cross multiply
    122,167.31x = 182,415.35 × 109,434.87
  4. Step 4: Simplify right side
    122,167.31x = 19,962,600,386.84
  5. Step 5: Solve for x
    x = 19,962,600,386.84/122,167.31
  6. Step 6: Final answer
    x = 163,403.79

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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.