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Finding the Fourth Proportional to 101,202.30, 151,803.90 and 42,037.92

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Solution

The fourth proportional to 101,202.30, 151,803.90 and 42,037.92 is: 63,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,202.30 : 151,803.90 = 42,037.92 : x
  2. Step 2: Convert to fraction form
    101,202.30/151,803.90 = 42,037.92/x
  3. Step 3: Cross multiply
    101,202.30x = 151,803.90 × 42,037.92
  4. Step 4: Simplify right side
    101,202.30x = 6,381,520,203.89
  5. Step 5: Solve for x
    x = 6,381,520,203.89/101,202.30
  6. Step 6: Final answer
    x = 63,057.07

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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.