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Finding the Fourth Proportional to 75,411.42, 104,068 and 40,956.28

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Solution

The fourth proportional to 75,411.42, 104,068 and 40,956.28 is: 56,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,411.42 : 104,068 = 40,956.28 : x
  2. Step 2: Convert to fraction form
    75,411.42/104,068 = 40,956.28/x
  3. Step 3: Cross multiply
    75,411.42x = 104,068 × 40,956.28
  4. Step 4: Simplify right side
    75,411.42x = 4,262,238,147.04
  5. Step 5: Solve for x
    x = 4,262,238,147.04/75,411.42
  6. Step 6: Final answer
    x = 56,519.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.