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Finding the Fourth Proportional to 52,306.35, 78,460.07 and 20,724.09

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Solution

The fourth proportional to 52,306.35, 78,460.07 and 20,724.09 is: 31,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,306.35 : 78,460.07 = 20,724.09 : x
  2. Step 2: Convert to fraction form
    52,306.35/78,460.07 = 20,724.09/x
  3. Step 3: Cross multiply
    52,306.35x = 78,460.07 × 20,724.09
  4. Step 4: Simplify right side
    52,306.35x = 1,626,013,448.47
  5. Step 5: Solve for x
    x = 1,626,013,448.47/52,306.35
  6. Step 6: Final answer
    x = 31,086.35

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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.