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Finding the Fourth Proportional to 217,537, 326,305.50 and 77,301.16

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Solution

The fourth proportional to 217,537, 326,305.50 and 77,301.16 is: 115,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,537 : 326,305.50 = 77,301.16 : x
  2. Step 2: Convert to fraction form
    217,537/326,305.50 = 77,301.16/x
  3. Step 3: Cross multiply
    217,537x = 326,305.50 × 77,301.16
  4. Step 4: Simplify right side
    217,537x = 25,223,793,664.38
  5. Step 5: Solve for x
    x = 25,223,793,664.38/217,537
  6. Step 6: Final answer
    x = 115,951.74

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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.