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Finding the Fourth Proportional to 230,386.17, 345,527.40 and 82,642.17

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Solution

The fourth proportional to 230,386.17, 345,527.40 and 82,642.17 is: 123,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,386.17 : 345,527.40 = 82,642.17 : x
  2. Step 2: Convert to fraction form
    230,386.17/345,527.40 = 82,642.17/x
  3. Step 3: Cross multiply
    230,386.17x = 345,527.40 × 82,642.17
  4. Step 4: Simplify right side
    230,386.17x = 28,555,134,130.46
  5. Step 5: Solve for x
    x = 28,555,134,130.46/230,386.17
  6. Step 6: Final answer
    x = 123,944.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.