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Finding the Fourth Proportional to 101,931.26, 140,668.63 and 56,609.96

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Solution

The fourth proportional to 101,931.26, 140,668.63 and 56,609.96 is: 78,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,931.26 : 140,668.63 = 56,609.96 : x
  2. Step 2: Convert to fraction form
    101,931.26/140,668.63 = 56,609.96/x
  3. Step 3: Cross multiply
    101,931.26x = 140,668.63 × 56,609.96
  4. Step 4: Simplify right side
    101,931.26x = 7,963,244,672.69
  5. Step 5: Solve for x
    x = 7,963,244,672.69/101,931.26
  6. Step 6: Final answer
    x = 78,123.68

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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.