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Finding the Fourth Proportional to 216,711, 299,074.44 and 121,224.12

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Solution

The fourth proportional to 216,711, 299,074.44 and 121,224.12 is: 167,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,711 : 299,074.44 = 121,224.12 : x
  2. Step 2: Convert to fraction form
    216,711/299,074.44 = 121,224.12/x
  3. Step 3: Cross multiply
    216,711x = 299,074.44 × 121,224.12
  4. Step 4: Simplify right side
    216,711x = 36,255,035,803.49
  5. Step 5: Solve for x
    x = 36,255,035,803.49/216,711
  6. Step 6: Final answer
    x = 167,296.70

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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.