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Finding the Fourth Proportional to 217,752, 326,648.61 and 84,642.54

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Solution

The fourth proportional to 217,752, 326,648.61 and 84,642.54 is: 126,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,752 : 326,648.61 = 84,642.54 : x
  2. Step 2: Convert to fraction form
    217,752/326,648.61 = 84,642.54/x
  3. Step 3: Cross multiply
    217,752x = 326,648.61 × 84,642.54
  4. Step 4: Simplify right side
    217,752x = 27,648,368,037.87
  5. Step 5: Solve for x
    x = 27,648,368,037.87/217,752
  6. Step 6: Final answer
    x = 126,971.82

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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.