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Finding the Fourth Proportional to 106,428.11, 146,860.41 and 65,585.89

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Solution

The fourth proportional to 106,428.11, 146,860.41 and 65,585.89 is: 90,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,428.11 : 146,860.41 = 65,585.89 : x
  2. Step 2: Convert to fraction form
    106,428.11/146,860.41 = 65,585.89/x
  3. Step 3: Cross multiply
    106,428.11x = 146,860.41 × 65,585.89
  4. Step 4: Simplify right side
    106,428.11x = 9,631,969,961.31
  5. Step 5: Solve for x
    x = 9,631,969,961.31/106,428.11
  6. Step 6: Final answer
    x = 90,502.12

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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.