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Finding the Fourth Proportional to 82,641.12, 114,099.66 and 63,486.78

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Solution

The fourth proportional to 82,641.12, 114,099.66 and 63,486.78 is: 87,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,641.12 : 114,099.66 = 63,486.78 : x
  2. Step 2: Convert to fraction form
    82,641.12/114,099.66 = 63,486.78/x
  3. Step 3: Cross multiply
    82,641.12x = 114,099.66 × 63,486.78
  4. Step 4: Simplify right side
    82,641.12x = 7,243,820,012.49
  5. Step 5: Solve for x
    x = 7,243,820,012.49/82,641.12
  6. Step 6: Final answer
    x = 87,653.94

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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.