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Finding the Fourth Proportional to 106,520.86, 146,978.30 and 64,082.12

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Solution

The fourth proportional to 106,520.86, 146,978.30 and 64,082.12 is: 88,421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,520.86 : 146,978.30 = 64,082.12 : x
  2. Step 2: Convert to fraction form
    106,520.86/146,978.30 = 64,082.12/x
  3. Step 3: Cross multiply
    106,520.86x = 146,978.30 × 64,082.12
  4. Step 4: Simplify right side
    106,520.86x = 9,418,681,585.65
  5. Step 5: Solve for x
    x = 9,418,681,585.65/106,520.86
  6. Step 6: Final answer
    x = 88,421.01

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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.