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Finding the Fourth Proportional to 52,647.84, 78,972.10 and 21,060.54

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Solution

The fourth proportional to 52,647.84, 78,972.10 and 21,060.54 is: 31,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647.84 : 78,972.10 = 21,060.54 : x
  2. Step 2: Convert to fraction form
    52,647.84/78,972.10 = 21,060.54/x
  3. Step 3: Cross multiply
    52,647.84x = 78,972.10 × 21,060.54
  4. Step 4: Simplify right side
    52,647.84x = 1,663,195,070.93
  5. Step 5: Solve for x
    x = 1,663,195,070.93/52,647.84
  6. Step 6: Final answer
    x = 31,590.95

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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.