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Finding the Fourth Proportional to 99,889.16, 137,847.52 and 54,567.80

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Solution

The fourth proportional to 99,889.16, 137,847.52 and 54,567.80 is: 75,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,889.16 : 137,847.52 = 54,567.80 : x
  2. Step 2: Convert to fraction form
    99,889.16/137,847.52 = 54,567.80/x
  3. Step 3: Cross multiply
    99,889.16x = 137,847.52 × 54,567.80
  4. Step 4: Simplify right side
    99,889.16x = 7,522,035,901.86
  5. Step 5: Solve for x
    x = 7,522,035,901.86/99,889.16
  6. Step 6: Final answer
    x = 75,303.83

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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.