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Finding the Fourth Proportional to 216,907.98, 299,329.89 and 120,102.60

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Solution

The fourth proportional to 216,907.98, 299,329.89 and 120,102.60 is: 165,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,907.98 : 299,329.89 = 120,102.60 : x
  2. Step 2: Convert to fraction form
    216,907.98/299,329.89 = 120,102.60/x
  3. Step 3: Cross multiply
    216,907.98x = 299,329.89 × 120,102.60
  4. Step 4: Simplify right side
    216,907.98x = 35,950,298,046.71
  5. Step 5: Solve for x
    x = 35,950,298,046.71/216,907.98
  6. Step 6: Final answer
    x = 165,739.86

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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.