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Finding the Fourth Proportional to 64,707, 89,285.94 and 36,412.08

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Solution

The fourth proportional to 64,707, 89,285.94 and 36,412.08 is: 50,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,707 : 89,285.94 = 36,412.08 : x
  2. Step 2: Convert to fraction form
    64,707/89,285.94 = 36,412.08/x
  3. Step 3: Cross multiply
    64,707x = 89,285.94 × 36,412.08
  4. Step 4: Simplify right side
    64,707x = 3,251,086,790.16
  5. Step 5: Solve for x
    x = 3,251,086,790.16/64,707
  6. Step 6: Final answer
    x = 50,243.20

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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.