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Finding the Fourth Proportional to 64,106, 88,476 and 38,950.64

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Solution

The fourth proportional to 64,106, 88,476 and 38,950.64 is: 53,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,106 : 88,476 = 38,950.64 : x
  2. Step 2: Convert to fraction form
    64,106/88,476 = 38,950.64/x
  3. Step 3: Cross multiply
    64,106x = 88,476 × 38,950.64
  4. Step 4: Simplify right side
    64,106x = 3,446,196,824.64
  5. Step 5: Solve for x
    x = 3,446,196,824.64/64,106
  6. Step 6: Final answer
    x = 53,757.79

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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.