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Finding the Fourth Proportional to 169,789.84, 234,323.88 and 109,486

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Solution

The fourth proportional to 169,789.84, 234,323.88 and 109,486 is: 151,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,789.84 : 234,323.88 = 109,486 : x
  2. Step 2: Convert to fraction form
    169,789.84/234,323.88 = 109,486/x
  3. Step 3: Cross multiply
    169,789.84x = 234,323.88 × 109,486
  4. Step 4: Simplify right side
    169,789.84x = 25,655,184,325.68
  5. Step 5: Solve for x
    x = 25,655,184,325.68/169,789.84
  6. Step 6: Final answer
    x = 151,099.64

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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.