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Finding the Fourth Proportional to 99,231.50, 136,941.63 and 54,519.50

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Solution

The fourth proportional to 99,231.50, 136,941.63 and 54,519.50 is: 75,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,231.50 : 136,941.63 = 54,519.50 : x
  2. Step 2: Convert to fraction form
    99,231.50/136,941.63 = 54,519.50/x
  3. Step 3: Cross multiply
    99,231.50x = 136,941.63 × 54,519.50
  4. Step 4: Simplify right side
    99,231.50x = 7,465,989,196.79
  5. Step 5: Solve for x
    x = 7,465,989,196.79/99,231.50
  6. Step 6: Final answer
    x = 75,238.10

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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.