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Finding the Fourth Proportional to 254,051.39, 381,077.76 and 85,689.95

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Solution

The fourth proportional to 254,051.39, 381,077.76 and 85,689.95 is: 128,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,051.39 : 381,077.76 = 85,689.95 : x
  2. Step 2: Convert to fraction form
    254,051.39/381,077.76 = 85,689.95/x
  3. Step 3: Cross multiply
    254,051.39x = 381,077.76 × 85,689.95
  4. Step 4: Simplify right side
    254,051.39x = 32,654,532,295.12
  5. Step 5: Solve for x
    x = 32,654,532,295.12/254,051.39
  6. Step 6: Final answer
    x = 128,535.15

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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.