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Finding the Fourth Proportional to 76,905.78, 106,129.83 and 42,912.21

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Solution

The fourth proportional to 76,905.78, 106,129.83 and 42,912.21 is: 59,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,905.78 : 106,129.83 = 42,912.21 : x
  2. Step 2: Convert to fraction form
    76,905.78/106,129.83 = 42,912.21/x
  3. Step 3: Cross multiply
    76,905.78x = 106,129.83 × 42,912.21
  4. Step 4: Simplify right side
    76,905.78x = 4,554,265,552.22
  5. Step 5: Solve for x
    x = 4,554,265,552.22/76,905.78
  6. Step 6: Final answer
    x = 59,218.77

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1.5x scale

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.