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Finding the Fourth Proportional to 100,432.72, 150,698.22 and 40,458.70

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Solution

The fourth proportional to 100,432.72, 150,698.22 and 40,458.70 is: 60,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,432.72 : 150,698.22 = 40,458.70 : x
  2. Step 2: Convert to fraction form
    100,432.72/150,698.22 = 40,458.70/x
  3. Step 3: Cross multiply
    100,432.72x = 150,698.22 × 40,458.70
  4. Step 4: Simplify right side
    100,432.72x = 6,097,054,073.51
  5. Step 5: Solve for x
    x = 6,097,054,073.51/100,432.72
  6. Step 6: Final answer
    x = 60,707.85

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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.