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Finding the Fourth Proportional to 100,408.12, 150,374.71 and 87,188.65

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Solution

The fourth proportional to 100,408.12, 150,374.71 and 87,188.65 is: 130,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,408.12 : 150,374.71 = 87,188.65 : x
  2. Step 2: Convert to fraction form
    100,408.12/150,374.71 = 87,188.65/x
  3. Step 3: Cross multiply
    100,408.12x = 150,374.71 × 87,188.65
  4. Step 4: Simplify right side
    100,408.12x = 13,110,967,959.04
  5. Step 5: Solve for x
    x = 13,110,967,959.04/100,408.12
  6. Step 6: Final answer
    x = 130,576.77

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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.