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Finding the Fourth Proportional to 85,281.42, 117,664.74 and 55,068.02

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Solution

The fourth proportional to 85,281.42, 117,664.74 and 55,068.02 is: 75,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,281.42 : 117,664.74 = 55,068.02 : x
  2. Step 2: Convert to fraction form
    85,281.42/117,664.74 = 55,068.02/x
  3. Step 3: Cross multiply
    85,281.42x = 117,664.74 × 55,068.02
  4. Step 4: Simplify right side
    85,281.42x = 6,479,563,667.29
  5. Step 5: Solve for x
    x = 6,479,563,667.29/85,281.42
  6. Step 6: Final answer
    x = 75,978.61

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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.