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Finding the Fourth Proportional to 100,254.77, 138,351.53 and 54,934.46

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Solution

The fourth proportional to 100,254.77, 138,351.53 and 54,934.46 is: 75,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,254.77 : 138,351.53 = 54,934.46 : x
  2. Step 2: Convert to fraction form
    100,254.77/138,351.53 = 54,934.46/x
  3. Step 3: Cross multiply
    100,254.77x = 138,351.53 × 54,934.46
  4. Step 4: Simplify right side
    100,254.77x = 7,600,265,624.29
  5. Step 5: Solve for x
    x = 7,600,265,624.29/100,254.77
  6. Step 6: Final answer
    x = 75,809.52

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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.