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Finding the Fourth Proportional to 238,513.78, 329,129.73 and 136,516.05

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Solution

The fourth proportional to 238,513.78, 329,129.73 and 136,516.05 is: 188,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,513.78 : 329,129.73 = 136,516.05 : x
  2. Step 2: Convert to fraction form
    238,513.78/329,129.73 = 136,516.05/x
  3. Step 3: Cross multiply
    238,513.78x = 329,129.73 × 136,516.05
  4. Step 4: Simplify right side
    238,513.78x = 44,931,490,677.17
  5. Step 5: Solve for x
    x = 44,931,490,677.17/238,513.78
  6. Step 6: Final answer
    x = 188,381.11

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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.