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Finding the Fourth Proportional to 125,249.76, 187,878 and 31,762.80

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Solution

The fourth proportional to 125,249.76, 187,878 and 31,762.80 is: 47,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,249.76 : 187,878 = 31,762.80 : x
  2. Step 2: Convert to fraction form
    125,249.76/187,878 = 31,762.80/x
  3. Step 3: Cross multiply
    125,249.76x = 187,878 × 31,762.80
  4. Step 4: Simplify right side
    125,249.76x = 5,967,531,338.40
  5. Step 5: Solve for x
    x = 5,967,531,338.40/125,249.76
  6. Step 6: Final answer
    x = 47,645.05

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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.