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Finding the Fourth Proportional to 103,668.50, 143,079.81 and 78,474.26

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Solution

The fourth proportional to 103,668.50, 143,079.81 and 78,474.26 is: 108,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,668.50 : 143,079.81 = 78,474.26 : x
  2. Step 2: Convert to fraction form
    103,668.50/143,079.81 = 78,474.26/x
  3. Step 3: Cross multiply
    103,668.50x = 143,079.81 × 78,474.26
  4. Step 4: Simplify right side
    103,668.50x = 11,228,082,210.69
  5. Step 5: Solve for x
    x = 11,228,082,210.69/103,668.50
  6. Step 6: Final answer
    x = 108,307.56

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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.