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Finding the Fourth Proportional to 217,137.65, 299,649.99 and 120,347.76

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Solution

The fourth proportional to 217,137.65, 299,649.99 and 120,347.76 is: 166,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,137.65 : 299,649.99 = 120,347.76 : x
  2. Step 2: Convert to fraction form
    217,137.65/299,649.99 = 120,347.76/x
  3. Step 3: Cross multiply
    217,137.65x = 299,649.99 × 120,347.76
  4. Step 4: Simplify right side
    217,137.65x = 36,062,205,080.52
  5. Step 5: Solve for x
    x = 36,062,205,080.52/217,137.65
  6. Step 6: Final answer
    x = 166,079.93

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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.