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Finding the Fourth Proportional to 70,209.65, 105,282.52 and 20,277.88

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Solution

The fourth proportional to 70,209.65, 105,282.52 and 20,277.88 is: 30,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,209.65 : 105,282.52 = 20,277.88 : x
  2. Step 2: Convert to fraction form
    70,209.65/105,282.52 = 20,277.88/x
  3. Step 3: Cross multiply
    70,209.65x = 105,282.52 × 20,277.88
  4. Step 4: Simplify right side
    70,209.65x = 2,134,905,992.76
  5. Step 5: Solve for x
    x = 2,134,905,992.76/70,209.65
  6. Step 6: Final answer
    x = 30,407.59

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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.