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Finding the Fourth Proportional to 51,543.78, 77,334.06 and 31,799.34

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Solution

The fourth proportional to 51,543.78, 77,334.06 and 31,799.34 is: 47,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,543.78 : 77,334.06 = 31,799.34 : x
  2. Step 2: Convert to fraction form
    51,543.78/77,334.06 = 31,799.34/x
  3. Step 3: Cross multiply
    51,543.78x = 77,334.06 × 31,799.34
  4. Step 4: Simplify right side
    51,543.78x = 2,459,172,067.52
  5. Step 5: Solve for x
    x = 2,459,172,067.52/51,543.78
  6. Step 6: Final answer
    x = 47,710.36

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1.5x scale

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.