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Finding the Fourth Proportional to 56,401.99, 77,821.02 and 31,251.49

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Solution

The fourth proportional to 56,401.99, 77,821.02 and 31,251.49 is: 43,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,401.99 : 77,821.02 = 31,251.49 : x
  2. Step 2: Convert to fraction form
    56,401.99/77,821.02 = 31,251.49/x
  3. Step 3: Cross multiply
    56,401.99x = 77,821.02 × 31,251.49
  4. Step 4: Simplify right side
    56,401.99x = 2,432,022,828.32
  5. Step 5: Solve for x
    x = 2,432,022,828.32/56,401.99
  6. Step 6: Final answer
    x = 43,119.45

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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.