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Finding the Fourth Proportional to 82,768, 114,219.84 and 45,042.52

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Solution

The fourth proportional to 82,768, 114,219.84 and 45,042.52 is: 62,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,768 : 114,219.84 = 45,042.52 : x
  2. Step 2: Convert to fraction form
    82,768/114,219.84 = 45,042.52/x
  3. Step 3: Cross multiply
    82,768x = 114,219.84 × 45,042.52
  4. Step 4: Simplify right side
    82,768x = 5,144,749,427.60
  5. Step 5: Solve for x
    x = 5,144,749,427.60/82,768
  6. Step 6: Final answer
    x = 62,158.68

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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.