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Finding the Fourth Proportional to 135,641.53, 203,478.63 and 65,471.50

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Solution

The fourth proportional to 135,641.53, 203,478.63 and 65,471.50 is: 98,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,641.53 : 203,478.63 = 65,471.50 : x
  2. Step 2: Convert to fraction form
    135,641.53/203,478.63 = 65,471.50/x
  3. Step 3: Cross multiply
    135,641.53x = 203,478.63 × 65,471.50
  4. Step 4: Simplify right side
    135,641.53x = 13,322,051,124.05
  5. Step 5: Solve for x
    x = 13,322,051,124.05/135,641.53
  6. Step 6: Final answer
    x = 98,215.13

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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.