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Finding the Fourth Proportional to 154,190.68, 212,818.70 and 100,382

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Solution

The fourth proportional to 154,190.68, 212,818.70 and 100,382 is: 138,550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,190.68 : 212,818.70 = 100,382 : x
  2. Step 2: Convert to fraction form
    154,190.68/212,818.70 = 100,382/x
  3. Step 3: Cross multiply
    154,190.68x = 212,818.70 × 100,382
  4. Step 4: Simplify right side
    154,190.68x = 21,363,166,743.40
  5. Step 5: Solve for x
    x = 21,363,166,743.40/154,190.68
  6. Step 6: Final answer
    x = 138,550.31

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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.