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Finding the Fourth Proportional to 100,474.32, 138,655.98 and 55,156.80

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Solution

The fourth proportional to 100,474.32, 138,655.98 and 55,156.80 is: 76,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,474.32 : 138,655.98 = 55,156.80 : x
  2. Step 2: Convert to fraction form
    100,474.32/138,655.98 = 55,156.80/x
  3. Step 3: Cross multiply
    100,474.32x = 138,655.98 × 55,156.80
  4. Step 4: Simplify right side
    100,474.32x = 7,647,820,157.66
  5. Step 5: Solve for x
    x = 7,647,820,157.66/100,474.32
  6. Step 6: Final answer
    x = 76,117.16

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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.