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Finding the Fourth Proportional to 53,213.40, 79,721.70 and 31,037.40

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Solution

The fourth proportional to 53,213.40, 79,721.70 and 31,037.40 is: 46,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,213.40 : 79,721.70 = 31,037.40 : x
  2. Step 2: Convert to fraction form
    53,213.40/79,721.70 = 31,037.40/x
  3. Step 3: Cross multiply
    53,213.40x = 79,721.70 × 31,037.40
  4. Step 4: Simplify right side
    53,213.40x = 2,474,354,291.58
  5. Step 5: Solve for x
    x = 2,474,354,291.58/53,213.40
  6. Step 6: Final answer
    x = 46,498.71

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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.