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Finding the Fourth Proportional to 99,576.90, 137,416.14 and 54,864.90

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Solution

The fourth proportional to 99,576.90, 137,416.14 and 54,864.90 is: 75,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,576.90 : 137,416.14 = 54,864.90 : x
  2. Step 2: Convert to fraction form
    99,576.90/137,416.14 = 54,864.90/x
  3. Step 3: Cross multiply
    99,576.90x = 137,416.14 × 54,864.90
  4. Step 4: Simplify right side
    99,576.90x = 7,539,322,779.49
  5. Step 5: Solve for x
    x = 7,539,322,779.49/99,576.90
  6. Step 6: Final answer
    x = 75,713.57

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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.