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Finding the Fourth Proportional to 100,152.92, 138,211.07 and 54,833.84

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Solution

The fourth proportional to 100,152.92, 138,211.07 and 54,833.84 is: 75,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,152.92 : 138,211.07 = 54,833.84 : x
  2. Step 2: Convert to fraction form
    100,152.92/138,211.07 = 54,833.84/x
  3. Step 3: Cross multiply
    100,152.92x = 138,211.07 × 54,833.84
  4. Step 4: Simplify right side
    100,152.92x = 7,578,643,698.61
  5. Step 5: Solve for x
    x = 7,578,643,698.61/100,152.92
  6. Step 6: Final answer
    x = 75,670.72

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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.