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Finding the Fourth Proportional to 83,014.80, 124,554.60 and 30,429.60

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Solution

The fourth proportional to 83,014.80, 124,554.60 and 30,429.60 is: 45,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,014.80 : 124,554.60 = 30,429.60 : x
  2. Step 2: Convert to fraction form
    83,014.80/124,554.60 = 30,429.60/x
  3. Step 3: Cross multiply
    83,014.80x = 124,554.60 × 30,429.60
  4. Step 4: Simplify right side
    83,014.80x = 3,790,146,656.16
  5. Step 5: Solve for x
    x = 3,790,146,656.16/83,014.80
  6. Step 6: Final answer
    x = 45,656.28

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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.