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Finding the Fourth Proportional to 64,516.82, 89,031.89 and 36,222.50

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Solution

The fourth proportional to 64,516.82, 89,031.89 and 36,222.50 is: 49,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,516.82 : 89,031.89 = 36,222.50 : x
  2. Step 2: Convert to fraction form
    64,516.82/89,031.89 = 36,222.50/x
  3. Step 3: Cross multiply
    64,516.82x = 89,031.89 × 36,222.50
  4. Step 4: Simplify right side
    64,516.82x = 3,224,957,948.66
  5. Step 5: Solve for x
    x = 3,224,957,948.66/64,516.82
  6. Step 6: Final answer
    x = 49,986.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.