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Finding the Fourth Proportional to 83,284.80, 124,851.36 and 30,657.60

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Solution

The fourth proportional to 83,284.80, 124,851.36 and 30,657.60 is: 45,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,284.80 : 124,851.36 = 30,657.60 : x
  2. Step 2: Convert to fraction form
    83,284.80/124,851.36 = 30,657.60/x
  3. Step 3: Cross multiply
    83,284.80x = 124,851.36 × 30,657.60
  4. Step 4: Simplify right side
    83,284.80x = 3,827,643,054.34
  5. Step 5: Solve for x
    x = 3,827,643,054.34/83,284.80
  6. Step 6: Final answer
    x = 45,958.48

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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.