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Finding the Fourth Proportional to 135,583.64, 203,239.98 and 64,381

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Solution

The fourth proportional to 135,583.64, 203,239.98 and 64,381 is: 96,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,583.64 : 203,239.98 = 64,381 : x
  2. Step 2: Convert to fraction form
    135,583.64/203,239.98 = 64,381/x
  3. Step 3: Cross multiply
    135,583.64x = 203,239.98 × 64,381
  4. Step 4: Simplify right side
    135,583.64x = 13,084,793,152.38
  5. Step 5: Solve for x
    x = 13,084,793,152.38/135,583.64
  6. Step 6: Final answer
    x = 96,507.17

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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.