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Finding the Fourth Proportional to 75,143.91, 112,549.71 and 51,395.16

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Solution

The fourth proportional to 75,143.91, 112,549.71 and 51,395.16 is: 76,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,143.91 : 112,549.71 = 51,395.16 : x
  2. Step 2: Convert to fraction form
    75,143.91/112,549.71 = 51,395.16/x
  3. Step 3: Cross multiply
    75,143.91x = 112,549.71 × 51,395.16
  4. Step 4: Simplify right side
    75,143.91x = 5,784,510,353.40
  5. Step 5: Solve for x
    x = 5,784,510,353.40/75,143.91
  6. Step 6: Final answer
    x = 76,979.10

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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.