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Finding the Fourth Proportional to 64,927.31, 89,605.16 and 36,638.47

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Solution

The fourth proportional to 64,927.31, 89,605.16 and 36,638.47 is: 50,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,927.31 : 89,605.16 = 36,638.47 : x
  2. Step 2: Convert to fraction form
    64,927.31/89,605.16 = 36,638.47/x
  3. Step 3: Cross multiply
    64,927.31x = 89,605.16 × 36,638.47
  4. Step 4: Simplify right side
    64,927.31x = 3,282,995,834.09
  5. Step 5: Solve for x
    x = 3,282,995,834.09/64,927.31
  6. Step 6: Final answer
    x = 50,564.17

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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.