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Finding the Fourth Proportional to 185,029, 255,340.02 and 100,146.76

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Solution

The fourth proportional to 185,029, 255,340.02 and 100,146.76 is: 138,202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,029 : 255,340.02 = 100,146.76 : x
  2. Step 2: Convert to fraction form
    185,029/255,340.02 = 100,146.76/x
  3. Step 3: Cross multiply
    185,029x = 255,340.02 × 100,146.76
  4. Step 4: Simplify right side
    185,029x = 25,571,475,701.34
  5. Step 5: Solve for x
    x = 25,571,475,701.34/185,029
  6. Step 6: Final answer
    x = 138,202.53

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1.5x scale

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.