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Finding the Fourth Proportional to 107,122, 147,766.80 and 66,816.40

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Solution

The fourth proportional to 107,122, 147,766.80 and 66,816.40 is: 92,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,122 : 147,766.80 = 66,816.40 : x
  2. Step 2: Convert to fraction form
    107,122/147,766.80 = 66,816.40/x
  3. Step 3: Cross multiply
    107,122x = 147,766.80 × 66,816.40
  4. Step 4: Simplify right side
    107,122x = 9,873,245,615.52
  5. Step 5: Solve for x
    x = 9,873,245,615.52/107,122
  6. Step 6: Final answer
    x = 92,168.23

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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.