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Finding the Fourth Proportional to 216,635.68, 298,965.40 and 121,142.16

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Solution

The fourth proportional to 216,635.68, 298,965.40 and 121,142.16 is: 167,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,635.68 : 298,965.40 = 121,142.16 : x
  2. Step 2: Convert to fraction form
    216,635.68/298,965.40 = 121,142.16/x
  3. Step 3: Cross multiply
    216,635.68x = 298,965.40 × 121,142.16
  4. Step 4: Simplify right side
    216,635.68x = 36,217,314,321.26
  5. Step 5: Solve for x
    x = 36,217,314,321.26/216,635.68
  6. Step 6: Final answer
    x = 167,180.74

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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.