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Finding the Fourth Proportional to 70,419.85, 105,574.93 and 34,856.62

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Solution

The fourth proportional to 70,419.85, 105,574.93 and 34,856.62 is: 52,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,419.85 : 105,574.93 = 34,856.62 : x
  2. Step 2: Convert to fraction form
    70,419.85/105,574.93 = 34,856.62/x
  3. Step 3: Cross multiply
    70,419.85x = 105,574.93 × 34,856.62
  4. Step 4: Simplify right side
    70,419.85x = 3,679,984,865.46
  5. Step 5: Solve for x
    x = 3,679,984,865.46/70,419.85
  6. Step 6: Final answer
    x = 52,257.78

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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.