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Finding the Fourth Proportional to 82,872, 114,363.38 and 45,146.24

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Solution

The fourth proportional to 82,872, 114,363.38 and 45,146.24 is: 62,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,872 : 114,363.38 = 45,146.24 : x
  2. Step 2: Convert to fraction form
    82,872/114,363.38 = 45,146.24/x
  3. Step 3: Cross multiply
    82,872x = 114,363.38 × 45,146.24
  4. Step 4: Simplify right side
    82,872x = 5,163,076,600.69
  5. Step 5: Solve for x
    x = 5,163,076,600.69/82,872
  6. Step 6: Final answer
    x = 62,301.82

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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.