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Finding the Fourth Proportional to 216,649.60, 298,970.87 and 119,857.10

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Solution

The fourth proportional to 216,649.60, 298,970.87 and 119,857.10 is: 165,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,649.60 : 298,970.87 = 119,857.10 : x
  2. Step 2: Convert to fraction form
    216,649.60/298,970.87 = 119,857.10/x
  3. Step 3: Cross multiply
    216,649.60x = 298,970.87 × 119,857.10
  4. Step 4: Simplify right side
    216,649.60x = 35,833,781,462.68
  5. Step 5: Solve for x
    x = 35,833,781,462.68/216,649.60
  6. Step 6: Final answer
    x = 165,399.71

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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.