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Finding the Fourth Proportional to 123,722.76, 185,418.90 and 64,434.12

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Solution

The fourth proportional to 123,722.76, 185,418.90 and 64,434.12 is: 96,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,722.76 : 185,418.90 = 64,434.12 : x
  2. Step 2: Convert to fraction form
    123,722.76/185,418.90 = 64,434.12/x
  3. Step 3: Cross multiply
    123,722.76x = 185,418.90 × 64,434.12
  4. Step 4: Simplify right side
    123,722.76x = 11,947,303,652.87
  5. Step 5: Solve for x
    x = 11,947,303,652.87/123,722.76
  6. Step 6: Final answer
    x = 96,565.12

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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.