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Finding the Fourth Proportional to 52,146.72, 78,227.64 and 20,980.08

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Solution

The fourth proportional to 52,146.72, 78,227.64 and 20,980.08 is: 31,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,146.72 : 78,227.64 = 20,980.08 : x
  2. Step 2: Convert to fraction form
    52,146.72/78,227.64 = 20,980.08/x
  3. Step 3: Cross multiply
    52,146.72x = 78,227.64 × 20,980.08
  4. Step 4: Simplify right side
    52,146.72x = 1,641,222,145.41
  5. Step 5: Solve for x
    x = 1,641,222,145.41/52,146.72
  6. Step 6: Final answer
    x = 31,473.16

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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.