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Finding the Fourth Proportional to 70,409.74, 105,606.40 and 28,288.12

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Solution

The fourth proportional to 70,409.74, 105,606.40 and 28,288.12 is: 42,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409.74 : 105,606.40 = 28,288.12 : x
  2. Step 2: Convert to fraction form
    70,409.74/105,606.40 = 28,288.12/x
  3. Step 3: Cross multiply
    70,409.74x = 105,606.40 × 28,288.12
  4. Step 4: Simplify right side
    70,409.74x = 2,987,406,515.97
  5. Step 5: Solve for x
    x = 2,987,406,515.97/70,409.74
  6. Step 6: Final answer
    x = 42,428.88

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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.