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Finding the Fourth Proportional to 242,224, 334,269.12 and 136,240

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Solution

The fourth proportional to 242,224, 334,269.12 and 136,240 is: 188,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,224 : 334,269.12 = 136,240 : x
  2. Step 2: Convert to fraction form
    242,224/334,269.12 = 136,240/x
  3. Step 3: Cross multiply
    242,224x = 334,269.12 × 136,240
  4. Step 4: Simplify right side
    242,224x = 45,540,824,908.80
  5. Step 5: Solve for x
    x = 45,540,824,908.80/242,224
  6. Step 6: Final answer
    x = 188,011.20

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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.