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Finding the Fourth Proportional to 216,700.98, 299,048.12 and 121,201.57

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Solution

The fourth proportional to 216,700.98, 299,048.12 and 121,201.57 is: 167,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,700.98 : 299,048.12 = 121,201.57 : x
  2. Step 2: Convert to fraction form
    216,700.98/299,048.12 = 121,201.57/x
  3. Step 3: Cross multiply
    216,700.98x = 299,048.12 × 121,201.57
  4. Step 4: Simplify right side
    216,700.98x = 36,245,101,649.55
  5. Step 5: Solve for x
    x = 36,245,101,649.55/216,700.98
  6. Step 6: Final answer
    x = 167,258.60

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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.