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Finding the Fourth Proportional to 85,978.74, 128,948.81 and 36,115.14

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Solution

The fourth proportional to 85,978.74, 128,948.81 and 36,115.14 is: 54,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,978.74 : 128,948.81 = 36,115.14 : x
  2. Step 2: Convert to fraction form
    85,978.74/128,948.81 = 36,115.14/x
  3. Step 3: Cross multiply
    85,978.74x = 128,948.81 × 36,115.14
  4. Step 4: Simplify right side
    85,978.74x = 4,657,004,145.41
  5. Step 5: Solve for x
    x = 4,657,004,145.41/85,978.74
  6. Step 6: Final answer
    x = 54,164.60

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