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Finding the Fourth Proportional to 76,964, 106,211.96 and 42,508.56

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Solution

The fourth proportional to 76,964, 106,211.96 and 42,508.56 is: 58,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,964 : 106,211.96 = 42,508.56 : x
  2. Step 2: Convert to fraction form
    76,964/106,211.96 = 42,508.56/x
  3. Step 3: Cross multiply
    76,964x = 106,211.96 × 42,508.56
  4. Step 4: Simplify right side
    76,964x = 4,514,917,474.38
  5. Step 5: Solve for x
    x = 4,514,917,474.38/76,964
  6. Step 6: Final answer
    x = 58,662.72

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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.