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Finding the Fourth Proportional to 70,358.94, 105,405.98 and 34,778.61

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Solution

The fourth proportional to 70,358.94, 105,405.98 and 34,778.61 is: 52,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,358.94 : 105,405.98 = 34,778.61 : x
  2. Step 2: Convert to fraction form
    70,358.94/105,405.98 = 34,778.61/x
  3. Step 3: Cross multiply
    70,358.94x = 105,405.98 × 34,778.61
  4. Step 4: Simplify right side
    70,358.94x = 3,665,872,850.76
  5. Step 5: Solve for x
    x = 3,665,872,850.76/70,358.94
  6. Step 6: Final answer
    x = 52,102.45

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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.