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Finding the Fourth Proportional to 123,396.16, 170,290.16 and 69,689.20

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Solution

The fourth proportional to 123,396.16, 170,290.16 and 69,689.20 is: 96,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,396.16 : 170,290.16 = 69,689.20 : x
  2. Step 2: Convert to fraction form
    123,396.16/170,290.16 = 69,689.20/x
  3. Step 3: Cross multiply
    123,396.16x = 170,290.16 × 69,689.20
  4. Step 4: Simplify right side
    123,396.16x = 11,867,385,018.27
  5. Step 5: Solve for x
    x = 11,867,385,018.27/123,396.16
  6. Step 6: Final answer
    x = 96,173.05

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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.