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Finding the Fourth Proportional to 83,220, 114,844.26 and 45,494.28

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Solution

The fourth proportional to 83,220, 114,844.26 and 45,494.28 is: 62,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,220 : 114,844.26 = 45,494.28 : x
  2. Step 2: Convert to fraction form
    83,220/114,844.26 = 45,494.28/x
  3. Step 3: Cross multiply
    83,220x = 114,844.26 × 45,494.28
  4. Step 4: Simplify right side
    83,220x = 5,224,756,920.83
  5. Step 5: Solve for x
    x = 5,224,756,920.83/83,220
  6. Step 6: Final answer
    x = 62,782.47

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1.5x scale

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.