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Finding the Fourth Proportional to 53,148.70, 79,731.66 and 15,712.54

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Solution

The fourth proportional to 53,148.70, 79,731.66 and 15,712.54 is: 23,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,148.70 : 79,731.66 = 15,712.54 : x
  2. Step 2: Convert to fraction form
    53,148.70/79,731.66 = 15,712.54/x
  3. Step 3: Cross multiply
    53,148.70x = 79,731.66 × 15,712.54
  4. Step 4: Simplify right side
    53,148.70x = 1,252,786,897.02
  5. Step 5: Solve for x
    x = 1,252,786,897.02/53,148.70
  6. Step 6: Final answer
    x = 23,571.36

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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.