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Finding the Fourth Proportional to 219,433.86, 329,163.08 and 61,650

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Solution

The fourth proportional to 219,433.86, 329,163.08 and 61,650 is: 92,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,433.86 : 329,163.08 = 61,650 : x
  2. Step 2: Convert to fraction form
    219,433.86/329,163.08 = 61,650/x
  3. Step 3: Cross multiply
    219,433.86x = 329,163.08 × 61,650
  4. Step 4: Simplify right side
    219,433.86x = 20,292,903,573.75
  5. Step 5: Solve for x
    x = 20,292,903,573.75/219,433.86
  6. Step 6: Final answer
    x = 92,478.45

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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.