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Finding the Fourth Proportional to 123,564, 170,536.53 and 78,246.12

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Solution

The fourth proportional to 123,564, 170,536.53 and 78,246.12 is: 107,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,564 : 170,536.53 = 78,246.12 : x
  2. Step 2: Convert to fraction form
    123,564/170,536.53 = 78,246.12/x
  3. Step 3: Cross multiply
    123,564x = 170,536.53 × 78,246.12
  4. Step 4: Simplify right side
    123,564x = 13,343,821,790.76
  5. Step 5: Solve for x
    x = 13,343,821,790.76/123,564
  6. Step 6: Final answer
    x = 107,991.18

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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.