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Finding the Fourth Proportional to 103,513.57, 155,072.36 and 86,753.81

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Solution

The fourth proportional to 103,513.57, 155,072.36 and 86,753.81 is: 129,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,513.57 : 155,072.36 = 86,753.81 : x
  2. Step 2: Convert to fraction form
    103,513.57/155,072.36 = 86,753.81/x
  3. Step 3: Cross multiply
    103,513.57x = 155,072.36 × 86,753.81
  4. Step 4: Simplify right side
    103,513.57x = 13,453,118,660.26
  5. Step 5: Solve for x
    x = 13,453,118,660.26/103,513.57
  6. Step 6: Final answer
    x = 129,964.79

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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.