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Finding the Fourth Proportional to 56,338, 84,451.06 and 31,389.44

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Solution

The fourth proportional to 56,338, 84,451.06 and 31,389.44 is: 47,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,338 : 84,451.06 = 31,389.44 : x
  2. Step 2: Convert to fraction form
    56,338/84,451.06 = 31,389.44/x
  3. Step 3: Cross multiply
    56,338x = 84,451.06 × 31,389.44
  4. Step 4: Simplify right side
    56,338x = 2,650,871,480.81
  5. Step 5: Solve for x
    x = 2,650,871,480.81/56,338
  6. Step 6: Final answer
    x = 47,052.99

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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.