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Finding the Fourth Proportional to 126,404.50, 189,637.95 and 37,657.66

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Solution

The fourth proportional to 126,404.50, 189,637.95 and 37,657.66 is: 56,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,404.50 : 189,637.95 = 37,657.66 : x
  2. Step 2: Convert to fraction form
    126,404.50/189,637.95 = 37,657.66/x
  3. Step 3: Cross multiply
    126,404.50x = 189,637.95 × 37,657.66
  4. Step 4: Simplify right side
    126,404.50x = 7,141,321,444.20
  5. Step 5: Solve for x
    x = 7,141,321,444.20/126,404.50
  6. Step 6: Final answer
    x = 56,495.78

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