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Finding the Fourth Proportional to 101,616.18, 140,226.35 and 55,675

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Solution

The fourth proportional to 101,616.18, 140,226.35 and 55,675 is: 76,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,616.18 : 140,226.35 = 55,675 : x
  2. Step 2: Convert to fraction form
    101,616.18/140,226.35 = 55,675/x
  3. Step 3: Cross multiply
    101,616.18x = 140,226.35 × 55,675
  4. Step 4: Simplify right side
    101,616.18x = 7,807,102,036.25
  5. Step 5: Solve for x
    x = 7,807,102,036.25/101,616.18
  6. Step 6: Final answer
    x = 76,829.32

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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.