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Finding the Fourth Proportional to 70,619.68, 105,929.70 and 17,311.89

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Solution

The fourth proportional to 70,619.68, 105,929.70 and 17,311.89 is: 25,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,619.68 : 105,929.70 = 17,311.89 : x
  2. Step 2: Convert to fraction form
    70,619.68/105,929.70 = 17,311.89/x
  3. Step 3: Cross multiply
    70,619.68x = 105,929.70 × 17,311.89
  4. Step 4: Simplify right side
    70,619.68x = 1,833,843,646.45
  5. Step 5: Solve for x
    x = 1,833,843,646.45/70,619.68
  6. Step 6: Final answer
    x = 25,967.88

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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.