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Finding the Fourth Proportional to 82,197.04, 113,431.96 and 57,061.12

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Solution

The fourth proportional to 82,197.04, 113,431.96 and 57,061.12 is: 78,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,197.04 : 113,431.96 = 57,061.12 : x
  2. Step 2: Convert to fraction form
    82,197.04/113,431.96 = 57,061.12/x
  3. Step 3: Cross multiply
    82,197.04x = 113,431.96 × 57,061.12
  4. Step 4: Simplify right side
    82,197.04x = 6,472,554,681.40
  5. Step 5: Solve for x
    x = 6,472,554,681.40/82,197.04
  6. Step 6: Final answer
    x = 78,744.38

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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.