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Finding the Fourth Proportional to 123,002.91, 169,679.36 and 77,664.51

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Solution

The fourth proportional to 123,002.91, 169,679.36 and 77,664.51 is: 107,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,002.91 : 169,679.36 = 77,664.51 : x
  2. Step 2: Convert to fraction form
    123,002.91/169,679.36 = 77,664.51/x
  3. Step 3: Cross multiply
    123,002.91x = 169,679.36 × 77,664.51
  4. Step 4: Simplify right side
    123,002.91x = 13,178,063,963.19
  5. Step 5: Solve for x
    x = 13,178,063,963.19/123,002.91
  6. Step 6: Final answer
    x = 107,136.20

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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.