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Finding the Fourth Proportional to 238,972, 329,742.76 and 136,978.68

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Solution

The fourth proportional to 238,972, 329,742.76 and 136,978.68 is: 189,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,972 : 329,742.76 = 136,978.68 : x
  2. Step 2: Convert to fraction form
    238,972/329,742.76 = 136,978.68/x
  3. Step 3: Cross multiply
    238,972x = 329,742.76 × 136,978.68
  4. Step 4: Simplify right side
    238,972x = 45,167,728,004.36
  5. Step 5: Solve for x
    x = 45,167,728,004.36/238,972
  6. Step 6: Final answer
    x = 189,008.45

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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.