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Finding the Fourth Proportional to 70,842.95, 106,239.40 and 20,909.69

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Solution

The fourth proportional to 70,842.95, 106,239.40 and 20,909.69 is: 31,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,842.95 : 106,239.40 = 20,909.69 : x
  2. Step 2: Convert to fraction form
    70,842.95/106,239.40 = 20,909.69/x
  3. Step 3: Cross multiply
    70,842.95x = 106,239.40 × 20,909.69
  4. Step 4: Simplify right side
    70,842.95x = 2,221,433,332.31
  5. Step 5: Solve for x
    x = 2,221,433,332.31/70,842.95
  6. Step 6: Final answer
    x = 31,357.15

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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.