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Finding the Fourth Proportional to 64,733.36, 89,329.32 and 36,438

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Solution

The fourth proportional to 64,733.36, 89,329.32 and 36,438 is: 50,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,733.36 : 89,329.32 = 36,438 : x
  2. Step 2: Convert to fraction form
    64,733.36/89,329.32 = 36,438/x
  3. Step 3: Cross multiply
    64,733.36x = 89,329.32 × 36,438
  4. Step 4: Simplify right side
    64,733.36x = 3,254,981,762.16
  5. Step 5: Solve for x
    x = 3,254,981,762.16/64,733.36
  6. Step 6: Final answer
    x = 50,282.91

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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.