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Finding the Fourth Proportional to 210,775.25, 290,874.81 and 120,139.69

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Solution

The fourth proportional to 210,775.25, 290,874.81 and 120,139.69 is: 165,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,775.25 : 290,874.81 = 120,139.69 : x
  2. Step 2: Convert to fraction form
    210,775.25/290,874.81 = 120,139.69/x
  3. Step 3: Cross multiply
    210,775.25x = 290,874.81 × 120,139.69
  4. Step 4: Simplify right side
    210,775.25x = 34,945,609,502.21
  5. Step 5: Solve for x
    x = 34,945,609,502.21/210,775.25
  6. Step 6: Final answer
    x = 165,795.60

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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.