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Finding the Fourth Proportional to 64,784.26, 89,398.83 and 36,488.13

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Solution

The fourth proportional to 64,784.26, 89,398.83 and 36,488.13 is: 50,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,784.26 : 89,398.83 = 36,488.13 : x
  2. Step 2: Convert to fraction form
    64,784.26/89,398.83 = 36,488.13/x
  3. Step 3: Cross multiply
    64,784.26x = 89,398.83 × 36,488.13
  4. Step 4: Simplify right side
    64,784.26x = 3,261,996,130.89
  5. Step 5: Solve for x
    x = 3,261,996,130.89/64,784.26
  6. Step 6: Final answer
    x = 50,351.68

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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.