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Finding the Fourth Proportional to 99,832.85, 137,772.16 and 54,513.71

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Solution

The fourth proportional to 99,832.85, 137,772.16 and 54,513.71 is: 75,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,832.85 : 137,772.16 = 54,513.71 : x
  2. Step 2: Convert to fraction form
    99,832.85/137,772.16 = 54,513.71/x
  3. Step 3: Cross multiply
    99,832.85x = 137,772.16 × 54,513.71
  4. Step 4: Simplify right side
    99,832.85x = 7,510,470,887.45
  5. Step 5: Solve for x
    x = 7,510,470,887.45/99,832.85
  6. Step 6: Final answer
    x = 75,230.46

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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.