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Finding the Fourth Proportional to 242,129, 334,138.02 and 136,145

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Solution

The fourth proportional to 242,129, 334,138.02 and 136,145 is: 187,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,129 : 334,138.02 = 136,145 : x
  2. Step 2: Convert to fraction form
    242,129/334,138.02 = 136,145/x
  3. Step 3: Cross multiply
    242,129x = 334,138.02 × 136,145
  4. Step 4: Simplify right side
    242,129x = 45,491,220,732.90
  5. Step 5: Solve for x
    x = 45,491,220,732.90/242,129
  6. Step 6: Final answer
    x = 187,880.10

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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.