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Finding the Fourth Proportional to 123,494.85, 170,420.49 and 69,782.13

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Solution

The fourth proportional to 123,494.85, 170,420.49 and 69,782.13 is: 96,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,494.85 : 170,420.49 = 69,782.13 : x
  2. Step 2: Convert to fraction form
    123,494.85/170,420.49 = 69,782.13/x
  3. Step 3: Cross multiply
    123,494.85x = 170,420.49 × 69,782.13
  4. Step 4: Simplify right side
    123,494.85x = 11,892,304,787.84
  5. Step 5: Solve for x
    x = 11,892,304,787.84/123,494.85
  6. Step 6: Final answer
    x = 96,297.98

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1.5x scale

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.