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Finding the Fourth Proportional to 99,235.50, 136,945 and 54,523.50

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Solution

The fourth proportional to 99,235.50, 136,945 and 54,523.50 is: 75,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,235.50 : 136,945 = 54,523.50 : x
  2. Step 2: Convert to fraction form
    99,235.50/136,945 = 54,523.50/x
  3. Step 3: Cross multiply
    99,235.50x = 136,945 × 54,523.50
  4. Step 4: Simplify right side
    99,235.50x = 7,466,720,707.50
  5. Step 5: Solve for x
    x = 7,466,720,707.50/99,235.50
  6. Step 6: Final answer
    x = 75,242.44

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1.5x scale

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.