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Finding the Fourth Proportional to 56,993, 78,648 and 33,119.48

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Solution

The fourth proportional to 56,993, 78,648 and 33,119.48 is: 45,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,993 : 78,648 = 33,119.48 : x
  2. Step 2: Convert to fraction form
    56,993/78,648 = 33,119.48/x
  3. Step 3: Cross multiply
    56,993x = 78,648 × 33,119.48
  4. Step 4: Simplify right side
    56,993x = 2,604,780,863.04
  5. Step 5: Solve for x
    x = 2,604,780,863.04/56,993
  6. Step 6: Final answer
    x = 45,703.52

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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.