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Finding the Fourth Proportional to 70,384.30, 105,502.64 and 32,912.79

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Solution

The fourth proportional to 70,384.30, 105,502.64 and 32,912.79 is: 49,334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,384.30 : 105,502.64 = 32,912.79 : x
  2. Step 2: Convert to fraction form
    70,384.30/105,502.64 = 32,912.79/x
  3. Step 3: Cross multiply
    70,384.30x = 105,502.64 × 32,912.79
  4. Step 4: Simplify right side
    70,384.30x = 3,472,385,674.57
  5. Step 5: Solve for x
    x = 3,472,385,674.57/70,384.30
  6. Step 6: Final answer
    x = 49,334.66

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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.