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Finding the Fourth Proportional to 254,595.63, 381,934.76 and 86,126.20

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Solution

The fourth proportional to 254,595.63, 381,934.76 and 86,126.20 is: 129,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,595.63 : 381,934.76 = 86,126.20 : x
  2. Step 2: Convert to fraction form
    254,595.63/381,934.76 = 86,126.20/x
  3. Step 3: Cross multiply
    254,595.63x = 381,934.76 × 86,126.20
  4. Step 4: Simplify right side
    254,595.63x = 32,894,588,141.24
  5. Step 5: Solve for x
    x = 32,894,588,141.24/254,595.63
  6. Step 6: Final answer
    x = 129,203.27

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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.