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Finding the Fourth Proportional to 70,833.40, 106,200.90 and 31,369

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Solution

The fourth proportional to 70,833.40, 106,200.90 and 31,369 is: 47,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,833.40 : 106,200.90 = 31,369 : x
  2. Step 2: Convert to fraction form
    70,833.40/106,200.90 = 31,369/x
  3. Step 3: Cross multiply
    70,833.40x = 106,200.90 × 31,369
  4. Step 4: Simplify right side
    70,833.40x = 3,331,416,032.10
  5. Step 5: Solve for x
    x = 3,331,416,032.10/70,833.40
  6. Step 6: Final answer
    x = 47,031.71

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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.