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Finding the Fourth Proportional to 103,122.86, 154,662 and 36,565.16

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Solution

The fourth proportional to 103,122.86, 154,662 and 36,565.16 is: 54,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,122.86 : 154,662 = 36,565.16 : x
  2. Step 2: Convert to fraction form
    103,122.86/154,662 = 36,565.16/x
  3. Step 3: Cross multiply
    103,122.86x = 154,662 × 36,565.16
  4. Step 4: Simplify right side
    103,122.86x = 5,655,240,775.92
  5. Step 5: Solve for x
    x = 5,655,240,775.92/103,122.86
  6. Step 6: Final answer
    x = 54,839.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.