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Finding the Fourth Proportional to 70,201.53, 105,281.50 and 20,282.08

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Solution

The fourth proportional to 70,201.53, 105,281.50 and 20,282.08 is: 30,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,201.53 : 105,281.50 = 20,282.08 : x
  2. Step 2: Convert to fraction form
    70,201.53/105,281.50 = 20,282.08/x
  3. Step 3: Cross multiply
    70,201.53x = 105,281.50 × 20,282.08
  4. Step 4: Simplify right side
    70,201.53x = 2,135,327,542.32
  5. Step 5: Solve for x
    x = 2,135,327,542.32/70,201.53
  6. Step 6: Final answer
    x = 30,417.11

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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.