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Finding the Fourth Proportional to 218,107.29, 327,213.14 and 105,656.06

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Solution

The fourth proportional to 218,107.29, 327,213.14 and 105,656.06 is: 158,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,107.29 : 327,213.14 = 105,656.06 : x
  2. Step 2: Convert to fraction form
    218,107.29/327,213.14 = 105,656.06/x
  3. Step 3: Cross multiply
    218,107.29x = 327,213.14 × 105,656.06
  4. Step 4: Simplify right side
    218,107.29x = 34,572,051,442.38
  5. Step 5: Solve for x
    x = 34,572,051,442.38/218,107.29
  6. Step 6: Final answer
    x = 158,509.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.