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Finding the Fourth Proportional to 144,324.87, 199,038.91 and 120,205.91

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Solution

The fourth proportional to 144,324.87, 199,038.91 and 120,205.91 is: 165,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,324.87 : 199,038.91 = 120,205.91 : x
  2. Step 2: Convert to fraction form
    144,324.87/199,038.91 = 120,205.91/x
  3. Step 3: Cross multiply
    144,324.87x = 199,038.91 × 120,205.91
  4. Step 4: Simplify right side
    144,324.87x = 23,925,653,301.96
  5. Step 5: Solve for x
    x = 23,925,653,301.96/144,324.87
  6. Step 6: Final answer
    x = 165,776.37

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1.5x scale

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.