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Finding the Fourth Proportional to 82,191.84, 113,435.52 and 61,031.52

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Solution

The fourth proportional to 82,191.84, 113,435.52 and 61,031.52 is: 84,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,191.84 : 113,435.52 = 61,031.52 : x
  2. Step 2: Convert to fraction form
    82,191.84/113,435.52 = 61,031.52/x
  3. Step 3: Cross multiply
    82,191.84x = 113,435.52 × 61,031.52
  4. Step 4: Simplify right side
    82,191.84x = 6,923,142,207.59
  5. Step 5: Solve for x
    x = 6,923,142,207.59/82,191.84
  6. Step 6: Final answer
    x = 84,231.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.