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Finding the Fourth Proportional to 123,684.56, 170,604 and 78,315.26

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Solution

The fourth proportional to 123,684.56, 170,604 and 78,315.26 is: 108,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,684.56 : 170,604 = 78,315.26 : x
  2. Step 2: Convert to fraction form
    123,684.56/170,604 = 78,315.26/x
  3. Step 3: Cross multiply
    123,684.56x = 170,604 × 78,315.26
  4. Step 4: Simplify right side
    123,684.56x = 13,360,896,617.04
  5. Step 5: Solve for x
    x = 13,360,896,617.04/123,684.56
  6. Step 6: Final answer
    x = 108,023.97

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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.