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Finding the Fourth Proportional to 135,643.20, 203,384.88 and 55,657.32

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Solution

The fourth proportional to 135,643.20, 203,384.88 and 55,657.32 is: 83,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,643.20 : 203,384.88 = 55,657.32 : x
  2. Step 2: Convert to fraction form
    135,643.20/203,384.88 = 55,657.32/x
  3. Step 3: Cross multiply
    135,643.20x = 203,384.88 × 55,657.32
  4. Step 4: Simplify right side
    135,643.20x = 11,319,857,349.32
  5. Step 5: Solve for x
    x = 11,319,857,349.32/135,643.20
  6. Step 6: Final answer
    x = 83,453.19

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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.