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Finding the Fourth Proportional to 47,497.81, 71,223.71 and 19,406.71

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Solution

The fourth proportional to 47,497.81, 71,223.71 and 19,406.71 is: 29,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,497.81 : 71,223.71 = 19,406.71 : x
  2. Step 2: Convert to fraction form
    47,497.81/71,223.71 = 19,406.71/x
  3. Step 3: Cross multiply
    47,497.81x = 71,223.71 × 19,406.71
  4. Step 4: Simplify right side
    47,497.81x = 1,382,217,476.46
  5. Step 5: Solve for x
    x = 1,382,217,476.46/47,497.81
  6. Step 6: Final answer
    x = 29,100.66

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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.