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Finding the Fourth Proportional to 254,139.50, 381,209.25 and 87,927.50

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Solution

The fourth proportional to 254,139.50, 381,209.25 and 87,927.50 is: 131,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,139.50 : 381,209.25 = 87,927.50 : x
  2. Step 2: Convert to fraction form
    254,139.50/381,209.25 = 87,927.50/x
  3. Step 3: Cross multiply
    254,139.50x = 381,209.25 × 87,927.50
  4. Step 4: Simplify right side
    254,139.50x = 33,518,776,329.38
  5. Step 5: Solve for x
    x = 33,518,776,329.38/254,139.50
  6. Step 6: Final answer
    x = 131,891.25

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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.