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Finding the Fourth Proportional to 99,919.30, 137,884.54 and 54,598.84

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Solution

The fourth proportional to 99,919.30, 137,884.54 and 54,598.84 is: 75,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,919.30 : 137,884.54 = 54,598.84 : x
  2. Step 2: Convert to fraction form
    99,919.30/137,884.54 = 54,598.84/x
  3. Step 3: Cross multiply
    99,919.30x = 137,884.54 × 54,598.84
  4. Step 4: Simplify right side
    99,919.30x = 7,528,335,937.93
  5. Step 5: Solve for x
    x = 7,528,335,937.93/99,919.30
  6. Step 6: Final answer
    x = 75,344.16

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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.