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Finding the Fourth Proportional to 92,594.40, 138,891.60 and 30,271.20

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Solution

The fourth proportional to 92,594.40, 138,891.60 and 30,271.20 is: 45,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,594.40 : 138,891.60 = 30,271.20 : x
  2. Step 2: Convert to fraction form
    92,594.40/138,891.60 = 30,271.20/x
  3. Step 3: Cross multiply
    92,594.40x = 138,891.60 × 30,271.20
  4. Step 4: Simplify right side
    92,594.40x = 4,204,415,401.92
  5. Step 5: Solve for x
    x = 4,204,415,401.92/92,594.40
  6. Step 6: Final answer
    x = 45,406.80

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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.