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Finding the Fourth Proportional to 106,020.77, 146,294.51 and 65,719.89

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Solution

The fourth proportional to 106,020.77, 146,294.51 and 65,719.89 is: 90,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,020.77 : 146,294.51 = 65,719.89 : x
  2. Step 2: Convert to fraction form
    106,020.77/146,294.51 = 65,719.89/x
  3. Step 3: Cross multiply
    106,020.77x = 146,294.51 × 65,719.89
  4. Step 4: Simplify right side
    106,020.77x = 9,614,458,776.20
  5. Step 5: Solve for x
    x = 9,614,458,776.20/106,020.77
  6. Step 6: Final answer
    x = 90,684.68

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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.