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Finding the Fourth Proportional to 118,891.56, 164,070 and 65,178.84

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Solution

The fourth proportional to 118,891.56, 164,070 and 65,178.84 is: 89,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,891.56 : 164,070 = 65,178.84 : x
  2. Step 2: Convert to fraction form
    118,891.56/164,070 = 65,178.84/x
  3. Step 3: Cross multiply
    118,891.56x = 164,070 × 65,178.84
  4. Step 4: Simplify right side
    118,891.56x = 10,693,892,278.80
  5. Step 5: Solve for x
    x = 10,693,892,278.80/118,891.56
  6. Step 6: Final answer
    x = 89,946.61

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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.