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Finding the Fourth Proportional to 217,790.28, 326,731.59 and 77,548.50

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Solution

The fourth proportional to 217,790.28, 326,731.59 and 77,548.50 is: 116,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,790.28 : 326,731.59 = 77,548.50 : x
  2. Step 2: Convert to fraction form
    217,790.28/326,731.59 = 77,548.50/x
  3. Step 3: Cross multiply
    217,790.28x = 326,731.59 × 77,548.50
  4. Step 4: Simplify right side
    217,790.28x = 25,337,544,707.12
  5. Step 5: Solve for x
    x = 25,337,544,707.12/217,790.28
  6. Step 6: Final answer
    x = 116,339.19

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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.