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Finding the Fourth Proportional to 123,564.76, 170,537.58 and 78,246.88

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Solution

The fourth proportional to 123,564.76, 170,537.58 and 78,246.88 is: 107,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,564.76 : 170,537.58 = 78,246.88 : x
  2. Step 2: Convert to fraction form
    123,564.76/170,537.58 = 78,246.88/x
  3. Step 3: Cross multiply
    123,564.76x = 170,537.58 × 78,246.88
  4. Step 4: Simplify right side
    123,564.76x = 13,344,033,557.75
  5. Step 5: Solve for x
    x = 13,344,033,557.75/123,564.76
  6. Step 6: Final answer
    x = 107,992.23

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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.