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Finding the Fourth Proportional to 234,854.32, 352,320.60 and 77,040.40

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Solution

The fourth proportional to 234,854.32, 352,320.60 and 77,040.40 is: 115,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,854.32 : 352,320.60 = 77,040.40 : x
  2. Step 2: Convert to fraction form
    234,854.32/352,320.60 = 77,040.40/x
  3. Step 3: Cross multiply
    234,854.32x = 352,320.60 × 77,040.40
  4. Step 4: Simplify right side
    234,854.32x = 27,142,919,952.24
  5. Step 5: Solve for x
    x = 27,142,919,952.24/234,854.32
  6. Step 6: Final answer
    x = 115,573.43

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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.