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Finding the Fourth Proportional to 185,042, 255,358 and 100,159.76

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Solution

The fourth proportional to 185,042, 255,358 and 100,159.76 is: 138,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,042 : 255,358 = 100,159.76 : x
  2. Step 2: Convert to fraction form
    185,042/255,358 = 100,159.76/x
  3. Step 3: Cross multiply
    185,042x = 255,358 × 100,159.76
  4. Step 4: Simplify right side
    185,042x = 25,576,595,994.08
  5. Step 5: Solve for x
    x = 25,576,595,994.08/185,042
  6. Step 6: Final answer
    x = 138,220.49

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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.