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Finding the Fourth Proportional to 55,119.40, 76,066.98 and 31,249

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Solution

The fourth proportional to 55,119.40, 76,066.98 and 31,249 is: 43,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,119.40 : 76,066.98 = 31,249 : x
  2. Step 2: Convert to fraction form
    55,119.40/76,066.98 = 31,249/x
  3. Step 3: Cross multiply
    55,119.40x = 76,066.98 × 31,249
  4. Step 4: Simplify right side
    55,119.40x = 2,377,017,058.02
  5. Step 5: Solve for x
    x = 2,377,017,058.02/55,119.40
  6. Step 6: Final answer
    x = 43,124.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.