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Finding the Fourth Proportional to 123,495.68, 170,361.33 and 78,097.20

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Solution

The fourth proportional to 123,495.68, 170,361.33 and 78,097.20 is: 107,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,495.68 : 170,361.33 = 78,097.20 : x
  2. Step 2: Convert to fraction form
    123,495.68/170,361.33 = 78,097.20/x
  3. Step 3: Cross multiply
    123,495.68x = 170,361.33 × 78,097.20
  4. Step 4: Simplify right side
    123,495.68x = 13,304,742,861.28
  5. Step 5: Solve for x
    x = 13,304,742,861.28/123,495.68
  6. Step 6: Final answer
    x = 107,734.48

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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.