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Finding the Fourth Proportional to 106,668.28, 147,213.21 and 61,347.97

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Solution

The fourth proportional to 106,668.28, 147,213.21 and 61,347.97 is: 84,666.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,668.28 : 147,213.21 = 61,347.97 : x
  2. Step 2: Convert to fraction form
    106,668.28/147,213.21 = 61,347.97/x
  3. Step 3: Cross multiply
    106,668.28x = 147,213.21 × 61,347.97
  4. Step 4: Simplify right side
    106,668.28x = 9,031,231,590.68
  5. Step 5: Solve for x
    x = 9,031,231,590.68/106,668.28
  6. Step 6: Final answer
    x = 84,666.52

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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.