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Finding the Fourth Proportional to 76,385, 105,411.66 and 42,851

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Solution

The fourth proportional to 76,385, 105,411.66 and 42,851 is: 59,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,385 : 105,411.66 = 42,851 : x
  2. Step 2: Convert to fraction form
    76,385/105,411.66 = 42,851/x
  3. Step 3: Cross multiply
    76,385x = 105,411.66 × 42,851
  4. Step 4: Simplify right side
    76,385x = 4,516,995,042.66
  5. Step 5: Solve for x
    x = 4,516,995,042.66/76,385
  6. Step 6: Final answer
    x = 59,134.58

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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.