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Finding the Fourth Proportional to 73,187.20, 109,780.80 and 42,083.20

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Solution

The fourth proportional to 73,187.20, 109,780.80 and 42,083.20 is: 63,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,187.20 : 109,780.80 = 42,083.20 : x
  2. Step 2: Convert to fraction form
    73,187.20/109,780.80 = 42,083.20/x
  3. Step 3: Cross multiply
    73,187.20x = 109,780.80 × 42,083.20
  4. Step 4: Simplify right side
    73,187.20x = 4,619,927,362.56
  5. Step 5: Solve for x
    x = 4,619,927,362.56/73,187.20
  6. Step 6: Final answer
    x = 63,124.80

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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.