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Finding the Fourth Proportional to 82,738.64, 114,178.80 and 45,013.04

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Solution

The fourth proportional to 82,738.64, 114,178.80 and 45,013.04 is: 62,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,738.64 : 114,178.80 = 45,013.04 : x
  2. Step 2: Convert to fraction form
    82,738.64/114,178.80 = 45,013.04/x
  3. Step 3: Cross multiply
    82,738.64x = 114,178.80 × 45,013.04
  4. Step 4: Simplify right side
    82,738.64x = 5,139,534,891.55
  5. Step 5: Solve for x
    x = 5,139,534,891.55/82,738.64
  6. Step 6: Final answer
    x = 62,117.71

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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.