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Finding the Fourth Proportional to 99,699.20, 137,581.08 and 54,987.20

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Solution

The fourth proportional to 99,699.20, 137,581.08 and 54,987.20 is: 75,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,699.20 : 137,581.08 = 54,987.20 : x
  2. Step 2: Convert to fraction form
    99,699.20/137,581.08 = 54,987.20/x
  3. Step 3: Cross multiply
    99,699.20x = 137,581.08 × 54,987.20
  4. Step 4: Simplify right side
    99,699.20x = 7,565,197,674.27
  5. Step 5: Solve for x
    x = 7,565,197,674.27/99,699.20
  6. Step 6: Final answer
    x = 75,880.23

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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.