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Finding the Fourth Proportional to 141,215.84, 194,840.64 and 83,840

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Solution

The fourth proportional to 141,215.84, 194,840.64 and 83,840 is: 115,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,215.84 : 194,840.64 = 83,840 : x
  2. Step 2: Convert to fraction form
    141,215.84/194,840.64 = 83,840/x
  3. Step 3: Cross multiply
    141,215.84x = 194,840.64 × 83,840
  4. Step 4: Simplify right side
    141,215.84x = 16,335,439,257.60
  5. Step 5: Solve for x
    x = 16,335,439,257.60/141,215.84
  6. Step 6: Final answer
    x = 115,677.10

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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.