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Finding the Fourth Proportional to 153,214.40, 229,891.20 and 68,928.32

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Solution

The fourth proportional to 153,214.40, 229,891.20 and 68,928.32 is: 103,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,214.40 : 229,891.20 = 68,928.32 : x
  2. Step 2: Convert to fraction form
    153,214.40/229,891.20 = 68,928.32/x
  3. Step 3: Cross multiply
    153,214.40x = 229,891.20 × 68,928.32
  4. Step 4: Simplify right side
    153,214.40x = 15,846,014,198.78
  5. Step 5: Solve for x
    x = 15,846,014,198.78/153,214.40
  6. Step 6: Final answer
    x = 103,423.79

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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.