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Finding the Fourth Proportional to 81,417.15, 122,125.73 and 42,051.15

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Solution

The fourth proportional to 81,417.15, 122,125.73 and 42,051.15 is: 63,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,417.15 : 122,125.73 = 42,051.15 : x
  2. Step 2: Convert to fraction form
    81,417.15/122,125.73 = 42,051.15/x
  3. Step 3: Cross multiply
    81,417.15x = 122,125.73 × 42,051.15
  4. Step 4: Simplify right side
    81,417.15x = 5,135,527,180.83
  5. Step 5: Solve for x
    x = 5,135,527,180.83/81,417.15
  6. Step 6: Final answer
    x = 63,076.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.