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Finding the Fourth Proportional to 52,330.62, 78,474.06 and 21,144

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Solution

The fourth proportional to 52,330.62, 78,474.06 and 21,144 is: 31,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,330.62 : 78,474.06 = 21,144 : x
  2. Step 2: Convert to fraction form
    52,330.62/78,474.06 = 21,144/x
  3. Step 3: Cross multiply
    52,330.62x = 78,474.06 × 21,144
  4. Step 4: Simplify right side
    52,330.62x = 1,659,255,524.64
  5. Step 5: Solve for x
    x = 1,659,255,524.64/52,330.62
  6. Step 6: Final answer
    x = 31,707.16

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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.