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Finding the Fourth Proportional to 75,852, 104,680.80 and 42,318.72

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Solution

The fourth proportional to 75,852, 104,680.80 and 42,318.72 is: 58,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,852 : 104,680.80 = 42,318.72 : x
  2. Step 2: Convert to fraction form
    75,852/104,680.80 = 42,318.72/x
  3. Step 3: Cross multiply
    75,852x = 104,680.80 × 42,318.72
  4. Step 4: Simplify right side
    75,852x = 4,429,957,464.58
  5. Step 5: Solve for x
    x = 4,429,957,464.58/75,852
  6. Step 6: Final answer
    x = 58,402.65

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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.