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Finding the Fourth Proportional to 101,622.61, 152,441.47 and 30,539.56

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Solution

The fourth proportional to 101,622.61, 152,441.47 and 30,539.56 is: 45,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,622.61 : 152,441.47 = 30,539.56 : x
  2. Step 2: Convert to fraction form
    101,622.61/152,441.47 = 30,539.56/x
  3. Step 3: Cross multiply
    101,622.61x = 152,441.47 × 30,539.56
  4. Step 4: Simplify right side
    101,622.61x = 4,655,494,933.71
  5. Step 5: Solve for x
    x = 4,655,494,933.71/101,622.61
  6. Step 6: Final answer
    x = 45,811.61

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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.