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Finding the Fourth Proportional to 153,149.76, 229,706.36 and 40,838.40

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Solution

The fourth proportional to 153,149.76, 229,706.36 and 40,838.40 is: 61,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,149.76 : 229,706.36 = 40,838.40 : x
  2. Step 2: Convert to fraction form
    153,149.76/229,706.36 = 40,838.40/x
  3. Step 3: Cross multiply
    153,149.76x = 229,706.36 × 40,838.40
  4. Step 4: Simplify right side
    153,149.76x = 9,380,840,212.22
  5. Step 5: Solve for x
    x = 9,380,840,212.22/153,149.76
  6. Step 6: Final answer
    x = 61,252.73

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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.