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Finding the Fourth Proportional to 96,120.98, 143,980.41 and 77,299.10

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Solution

The fourth proportional to 96,120.98, 143,980.41 and 77,299.10 is: 115,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,120.98 : 143,980.41 = 77,299.10 : x
  2. Step 2: Convert to fraction form
    96,120.98/143,980.41 = 77,299.10/x
  3. Step 3: Cross multiply
    96,120.98x = 143,980.41 × 77,299.10
  4. Step 4: Simplify right side
    96,120.98x = 11,129,556,110.63
  5. Step 5: Solve for x
    x = 11,129,556,110.63/96,120.98
  6. Step 6: Final answer
    x = 115,786.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.