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Finding the Fourth Proportional to 66,825.81, 100,214.01 and 56,827.17

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Solution

The fourth proportional to 66,825.81, 100,214.01 and 56,827.17 is: 85,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,825.81 : 100,214.01 = 56,827.17 : x
  2. Step 2: Convert to fraction form
    66,825.81/100,214.01 = 56,827.17/x
  3. Step 3: Cross multiply
    66,825.81x = 100,214.01 × 56,827.17
  4. Step 4: Simplify right side
    66,825.81x = 5,694,878,582.65
  5. Step 5: Solve for x
    x = 5,694,878,582.65/66,825.81
  6. Step 6: Final answer
    x = 85,219.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.