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Finding the Fourth Proportional to 89,271.68, 133,920 and 30,124.40

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Solution

The fourth proportional to 89,271.68, 133,920 and 30,124.40 is: 45,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,271.68 : 133,920 = 30,124.40 : x
  2. Step 2: Convert to fraction form
    89,271.68/133,920 = 30,124.40/x
  3. Step 3: Cross multiply
    89,271.68x = 133,920 × 30,124.40
  4. Step 4: Simplify right side
    89,271.68x = 4,034,259,648
  5. Step 5: Solve for x
    x = 4,034,259,648/89,271.68
  6. Step 6: Final answer
    x = 45,190.81

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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.