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Finding the Fourth Proportional to 217,545, 326,317.50 and 77,309.16

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Solution

The fourth proportional to 217,545, 326,317.50 and 77,309.16 is: 115,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,545 : 326,317.50 = 77,309.16 : x
  2. Step 2: Convert to fraction form
    217,545/326,317.50 = 77,309.16/x
  3. Step 3: Cross multiply
    217,545x = 326,317.50 × 77,309.16
  4. Step 4: Simplify right side
    217,545x = 25,227,331,818.30
  5. Step 5: Solve for x
    x = 25,227,331,818.30/217,545
  6. Step 6: Final answer
    x = 115,963.74

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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.