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Finding the Fourth Proportional to 153,138.65, 229,708.17 and 40,813.11

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Solution

The fourth proportional to 153,138.65, 229,708.17 and 40,813.11 is: 61,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,138.65 : 229,708.17 = 40,813.11 : x
  2. Step 2: Convert to fraction form
    153,138.65/229,708.17 = 40,813.11/x
  3. Step 3: Cross multiply
    153,138.65x = 229,708.17 × 40,813.11
  4. Step 4: Simplify right side
    153,138.65x = 9,375,104,810.11
  5. Step 5: Solve for x
    x = 9,375,104,810.11/153,138.65
  6. Step 6: Final answer
    x = 61,219.72

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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.