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Finding the Fourth Proportional to 106,243.20, 159,019.20 and 82,742.40

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Solution

The fourth proportional to 106,243.20, 159,019.20 and 82,742.40 is: 123,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,243.20 : 159,019.20 = 82,742.40 : x
  2. Step 2: Convert to fraction form
    106,243.20/159,019.20 = 82,742.40/x
  3. Step 3: Cross multiply
    106,243.20x = 159,019.20 × 82,742.40
  4. Step 4: Simplify right side
    106,243.20x = 13,157,630,254.08
  5. Step 5: Solve for x
    x = 13,157,630,254.08/106,243.20
  6. Step 6: Final answer
    x = 123,844.45

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1.5x scale

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.