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Finding the Fourth Proportional to 82,788, 114,247.44 and 45,062.52

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Solution

The fourth proportional to 82,788, 114,247.44 and 45,062.52 is: 62,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,788 : 114,247.44 = 45,062.52 : x
  2. Step 2: Convert to fraction form
    82,788/114,247.44 = 45,062.52/x
  3. Step 3: Cross multiply
    82,788x = 114,247.44 × 45,062.52
  4. Step 4: Simplify right side
    82,788x = 5,148,277,549.95
  5. Step 5: Solve for x
    x = 5,148,277,549.95/82,788
  6. Step 6: Final answer
    x = 62,186.28

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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.