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Finding the Fourth Proportional to 101,950.78, 140,731.31 and 67,946.86

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Solution

The fourth proportional to 101,950.78, 140,731.31 and 67,946.86 is: 93,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,950.78 : 140,731.31 = 67,946.86 : x
  2. Step 2: Convert to fraction form
    101,950.78/140,731.31 = 67,946.86/x
  3. Step 3: Cross multiply
    101,950.78x = 140,731.31 × 67,946.86
  4. Step 4: Simplify right side
    101,950.78x = 9,562,250,682.46
  5. Step 5: Solve for x
    x = 9,562,250,682.46/101,950.78
  6. Step 6: Final answer
    x = 93,792.82

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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.