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Finding the Fourth Proportional to 235,020.56, 352,455.96 and 77,212.40

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Solution

The fourth proportional to 235,020.56, 352,455.96 and 77,212.40 is: 115,794.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,020.56 : 352,455.96 = 77,212.40 : x
  2. Step 2: Convert to fraction form
    235,020.56/352,455.96 = 77,212.40/x
  3. Step 3: Cross multiply
    235,020.56x = 352,455.96 × 77,212.40
  4. Step 4: Simplify right side
    235,020.56x = 27,213,970,565.90
  5. Step 5: Solve for x
    x = 27,213,970,565.90/235,020.56
  6. Step 6: Final answer
    x = 115,794.00

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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.