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Finding the Fourth Proportional to 109,959.20, 164,938.80 and 100,117.70

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Solution

The fourth proportional to 109,959.20, 164,938.80 and 100,117.70 is: 150,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,959.20 : 164,938.80 = 100,117.70 : x
  2. Step 2: Convert to fraction form
    109,959.20/164,938.80 = 100,117.70/x
  3. Step 3: Cross multiply
    109,959.20x = 164,938.80 × 100,117.70
  4. Step 4: Simplify right side
    109,959.20x = 16,513,293,296.76
  5. Step 5: Solve for x
    x = 16,513,293,296.76/109,959.20
  6. Step 6: Final answer
    x = 150,176.55

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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.