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Finding the Fourth Proportional to 123,002.40, 169,759.36 and 69,297.78

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Solution

The fourth proportional to 123,002.40, 169,759.36 and 69,297.78 is: 95,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,002.40 : 169,759.36 = 69,297.78 : x
  2. Step 2: Convert to fraction form
    123,002.40/169,759.36 = 69,297.78/x
  3. Step 3: Cross multiply
    123,002.40x = 169,759.36 × 69,297.78
  4. Step 4: Simplify right side
    123,002.40x = 11,763,946,782.22
  5. Step 5: Solve for x
    x = 11,763,946,782.22/123,002.40
  6. Step 6: Final answer
    x = 95,639.98

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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.