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Finding the Fourth Proportional to 90,696.84, 135,819 and 57,316.20

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Solution

The fourth proportional to 90,696.84, 135,819 and 57,316.20 is: 85,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,696.84 : 135,819 = 57,316.20 : x
  2. Step 2: Convert to fraction form
    90,696.84/135,819 = 57,316.20/x
  3. Step 3: Cross multiply
    90,696.84x = 135,819 × 57,316.20
  4. Step 4: Simplify right side
    90,696.84x = 7,784,628,967.80
  5. Step 5: Solve for x
    x = 7,784,628,967.80/90,696.84
  6. Step 6: Final answer
    x = 85,831.31

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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.