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Finding the Fourth Proportional to 240,525.78, 360,730.35 and 100,207.86

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Solution

The fourth proportional to 240,525.78, 360,730.35 and 100,207.86 is: 150,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,525.78 : 360,730.35 = 100,207.86 : x
  2. Step 2: Convert to fraction form
    240,525.78/360,730.35 = 100,207.86/x
  3. Step 3: Cross multiply
    240,525.78x = 360,730.35 × 100,207.86
  4. Step 4: Simplify right side
    240,525.78x = 36,148,016,410.55
  5. Step 5: Solve for x
    x = 36,148,016,410.55/240,525.78
  6. Step 6: Final answer
    x = 150,287.49

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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.