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Finding the Fourth Proportional to 99,509.50, 137,323.11 and 54,797.50

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Solution

The fourth proportional to 99,509.50, 137,323.11 and 54,797.50 is: 75,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,509.50 : 137,323.11 = 54,797.50 : x
  2. Step 2: Convert to fraction form
    99,509.50/137,323.11 = 54,797.50/x
  3. Step 3: Cross multiply
    99,509.50x = 137,323.11 × 54,797.50
  4. Step 4: Simplify right side
    99,509.50x = 7,524,963,120.23
  5. Step 5: Solve for x
    x = 7,524,963,120.23/99,509.50
  6. Step 6: Final answer
    x = 75,620.55

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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.