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Finding the Fourth Proportional to 75,154.35, 112,678.13 and 37,687.40

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Solution

The fourth proportional to 75,154.35, 112,678.13 and 37,687.40 is: 56,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,154.35 : 112,678.13 = 37,687.40 : x
  2. Step 2: Convert to fraction form
    75,154.35/112,678.13 = 37,687.40/x
  3. Step 3: Cross multiply
    75,154.35x = 112,678.13 × 37,687.40
  4. Step 4: Simplify right side
    75,154.35x = 4,246,545,756.56
  5. Step 5: Solve for x
    x = 4,246,545,756.56/75,154.35
  6. Step 6: Final answer
    x = 56,504.32

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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.