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Finding the Fourth Proportional to 115,142.16, 172,719.44 and 36,262.56

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Solution

The fourth proportional to 115,142.16, 172,719.44 and 36,262.56 is: 54,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,142.16 : 172,719.44 = 36,262.56 : x
  2. Step 2: Convert to fraction form
    115,142.16/172,719.44 = 36,262.56/x
  3. Step 3: Cross multiply
    115,142.16x = 172,719.44 × 36,262.56
  4. Step 4: Simplify right side
    115,142.16x = 6,263,249,056.17
  5. Step 5: Solve for x
    x = 6,263,249,056.17/115,142.16
  6. Step 6: Final answer
    x = 54,395.79

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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.