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Finding the Fourth Proportional to 123,484.32, 170,398.24 and 69,774

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Solution

The fourth proportional to 123,484.32, 170,398.24 and 69,774 is: 96,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,484.32 : 170,398.24 = 69,774 : x
  2. Step 2: Convert to fraction form
    123,484.32/170,398.24 = 69,774/x
  3. Step 3: Cross multiply
    123,484.32x = 170,398.24 × 69,774
  4. Step 4: Simplify right side
    123,484.32x = 11,889,366,797.76
  5. Step 5: Solve for x
    x = 11,889,366,797.76/123,484.32
  6. Step 6: Final answer
    x = 96,282.40

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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.