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Finding the Fourth Proportional to 109,407.88, 163,892.92 and 86,956.44

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Solution

The fourth proportional to 109,407.88, 163,892.92 and 86,956.44 is: 130,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,407.88 : 163,892.92 = 86,956.44 : x
  2. Step 2: Convert to fraction form
    109,407.88/163,892.92 = 86,956.44/x
  3. Step 3: Cross multiply
    109,407.88x = 163,892.92 × 86,956.44
  4. Step 4: Simplify right side
    109,407.88x = 14,251,544,864.40
  5. Step 5: Solve for x
    x = 14,251,544,864.40/109,407.88
  6. Step 6: Final answer
    x = 130,260.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.