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Finding the Fourth Proportional to 52,678.64, 78,981.02 and 19,394.37

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Solution

The fourth proportional to 52,678.64, 78,981.02 and 19,394.37 is: 29,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,678.64 : 78,981.02 = 19,394.37 : x
  2. Step 2: Convert to fraction form
    52,678.64/78,981.02 = 19,394.37/x
  3. Step 3: Cross multiply
    52,678.64x = 78,981.02 × 19,394.37
  4. Step 4: Simplify right side
    52,678.64x = 1,531,787,027.89
  5. Step 5: Solve for x
    x = 1,531,787,027.89/52,678.64
  6. Step 6: Final answer
    x = 29,077.96

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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.