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Finding the Fourth Proportional to 137,414, 189,631.34 and 77,798

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Solution

The fourth proportional to 137,414, 189,631.34 and 77,798 is: 107,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,414 : 189,631.34 = 77,798 : x
  2. Step 2: Convert to fraction form
    137,414/189,631.34 = 77,798/x
  3. Step 3: Cross multiply
    137,414x = 189,631.34 × 77,798
  4. Step 4: Simplify right side
    137,414x = 14,752,938,989.32
  5. Step 5: Solve for x
    x = 14,752,938,989.32/137,414
  6. Step 6: Final answer
    x = 107,361.25

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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.