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Finding the Fourth Proportional to 52,328.62, 78,471.06 and 21,142

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Solution

The fourth proportional to 52,328.62, 78,471.06 and 21,142 is: 31,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,328.62 : 78,471.06 = 21,142 : x
  2. Step 2: Convert to fraction form
    52,328.62/78,471.06 = 21,142/x
  3. Step 3: Cross multiply
    52,328.62x = 78,471.06 × 21,142
  4. Step 4: Simplify right side
    52,328.62x = 1,659,035,150.52
  5. Step 5: Solve for x
    x = 1,659,035,150.52/52,328.62
  6. Step 6: Final answer
    x = 31,704.16

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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.