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Finding the Fourth Proportional to 100,724.51, 138,990.17 and 55,401.77

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Solution

The fourth proportional to 100,724.51, 138,990.17 and 55,401.77 is: 76,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,724.51 : 138,990.17 = 55,401.77 : x
  2. Step 2: Convert to fraction form
    100,724.51/138,990.17 = 55,401.77/x
  3. Step 3: Cross multiply
    100,724.51x = 138,990.17 × 55,401.77
  4. Step 4: Simplify right side
    100,724.51x = 7,700,300,874.15
  5. Step 5: Solve for x
    x = 7,700,300,874.15/100,724.51
  6. Step 6: Final answer
    x = 76,449.13

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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.