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Finding the Fourth Proportional to 215,657.60, 323,544.62 and 65,893.78

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Solution

The fourth proportional to 215,657.60, 323,544.62 and 65,893.78 is: 98,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,657.60 : 323,544.62 = 65,893.78 : x
  2. Step 2: Convert to fraction form
    215,657.60/323,544.62 = 65,893.78/x
  3. Step 3: Cross multiply
    215,657.60x = 323,544.62 × 65,893.78
  4. Step 4: Simplify right side
    215,657.60x = 21,319,577,366.34
  5. Step 5: Solve for x
    x = 21,319,577,366.34/215,657.60
  6. Step 6: Final answer
    x = 98,858.46

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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.