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Finding the Fourth Proportional to 80,970.40, 121,369.20 and 31,031.20

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Solution

The fourth proportional to 80,970.40, 121,369.20 and 31,031.20 is: 46,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,970.40 : 121,369.20 = 31,031.20 : x
  2. Step 2: Convert to fraction form
    80,970.40/121,369.20 = 31,031.20/x
  3. Step 3: Cross multiply
    80,970.40x = 121,369.20 × 31,031.20
  4. Step 4: Simplify right side
    80,970.40x = 3,766,231,919.04
  5. Step 5: Solve for x
    x = 3,766,231,919.04/80,970.40
  6. Step 6: Final answer
    x = 46,513.69

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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.