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Finding the Fourth Proportional to 99,687.16, 137,567.82 and 54,975.16

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Solution

The fourth proportional to 99,687.16, 137,567.82 and 54,975.16 is: 75,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,687.16 : 137,567.82 = 54,975.16 : x
  2. Step 2: Convert to fraction form
    99,687.16/137,567.82 = 54,975.16/x
  3. Step 3: Cross multiply
    99,687.16x = 137,567.82 × 54,975.16
  4. Step 4: Simplify right side
    99,687.16x = 7,562,812,915.35
  5. Step 5: Solve for x
    x = 7,562,812,915.35/99,687.16
  6. Step 6: Final answer
    x = 75,865.47

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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.