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Finding the Fourth Proportional to 185,780.68, 256,379.22 and 100,899.40

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Solution

The fourth proportional to 185,780.68, 256,379.22 and 100,899.40 is: 139,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,780.68 : 256,379.22 = 100,899.40 : x
  2. Step 2: Convert to fraction form
    185,780.68/256,379.22 = 100,899.40/x
  3. Step 3: Cross multiply
    185,780.68x = 256,379.22 × 100,899.40
  4. Step 4: Simplify right side
    185,780.68x = 25,868,509,470.47
  5. Step 5: Solve for x
    x = 25,868,509,470.47/185,780.68
  6. Step 6: Final answer
    x = 139,242.19

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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.