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Finding the Fourth Proportional to 70,698.29, 106,065.65 and 20,780.01

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Solution

The fourth proportional to 70,698.29, 106,065.65 and 20,780.01 is: 31,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,698.29 : 106,065.65 = 20,780.01 : x
  2. Step 2: Convert to fraction form
    70,698.29/106,065.65 = 20,780.01/x
  3. Step 3: Cross multiply
    70,698.29x = 106,065.65 × 20,780.01
  4. Step 4: Simplify right side
    70,698.29x = 2,204,045,319.61
  5. Step 5: Solve for x
    x = 2,204,045,319.61/70,698.29
  6. Step 6: Final answer
    x = 31,175.37

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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.