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Finding the Fourth Proportional to 77,893.68, 116,857.80 and 36,318

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Solution

The fourth proportional to 77,893.68, 116,857.80 and 36,318 is: 54,485.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,893.68 : 116,857.80 = 36,318 : x
  2. Step 2: Convert to fraction form
    77,893.68/116,857.80 = 36,318/x
  3. Step 3: Cross multiply
    77,893.68x = 116,857.80 × 36,318
  4. Step 4: Simplify right side
    77,893.68x = 4,244,041,580.40
  5. Step 5: Solve for x
    x = 4,244,041,580.40/77,893.68
  6. Step 6: Final answer
    x = 54,485.06

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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.