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Finding the Fourth Proportional to 77,686.50, 116,529.75 and 19,318.50

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Solution

The fourth proportional to 77,686.50, 116,529.75 and 19,318.50 is: 28,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,686.50 : 116,529.75 = 19,318.50 : x
  2. Step 2: Convert to fraction form
    77,686.50/116,529.75 = 19,318.50/x
  3. Step 3: Cross multiply
    77,686.50x = 116,529.75 × 19,318.50
  4. Step 4: Simplify right side
    77,686.50x = 2,251,179,975.38
  5. Step 5: Solve for x
    x = 2,251,179,975.38/77,686.50
  6. Step 6: Final answer
    x = 28,977.75

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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.