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Finding the Fourth Proportional to 83,012.80, 124,551.60 and 30,427.60

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Solution

The fourth proportional to 83,012.80, 124,551.60 and 30,427.60 is: 45,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,012.80 : 124,551.60 = 30,427.60 : x
  2. Step 2: Convert to fraction form
    83,012.80/124,551.60 = 30,427.60/x
  3. Step 3: Cross multiply
    83,012.80x = 124,551.60 × 30,427.60
  4. Step 4: Simplify right side
    83,012.80x = 3,789,806,264.16
  5. Step 5: Solve for x
    x = 3,789,806,264.16/83,012.80
  6. Step 6: Final answer
    x = 45,653.28

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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.