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Finding the Fourth Proportional to 238,971, 329,741.38 and 136,977.68

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Solution

The fourth proportional to 238,971, 329,741.38 and 136,977.68 is: 189,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,971 : 329,741.38 = 136,977.68 : x
  2. Step 2: Convert to fraction form
    238,971/329,741.38 = 136,977.68/x
  3. Step 3: Cross multiply
    238,971x = 329,741.38 × 136,977.68
  4. Step 4: Simplify right side
    238,971x = 45,167,209,232.40
  5. Step 5: Solve for x
    x = 45,167,209,232.40/238,971
  6. Step 6: Final answer
    x = 189,007.07

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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.