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Finding the Fourth Proportional to 100,415.30, 150,587.51 and 40,425.89

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Solution

The fourth proportional to 100,415.30, 150,587.51 and 40,425.89 is: 60,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,415.30 : 150,587.51 = 40,425.89 : x
  2. Step 2: Convert to fraction form
    100,415.30/150,587.51 = 40,425.89/x
  3. Step 3: Cross multiply
    100,415.30x = 150,587.51 × 40,425.89
  4. Step 4: Simplify right side
    100,415.30x = 6,087,633,159.57
  5. Step 5: Solve for x
    x = 6,087,633,159.57/100,415.30
  6. Step 6: Final answer
    x = 60,624.56

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1.5x scale

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.