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Finding the Fourth Proportional to 52,474.93, 78,662.73 and 20,904.47

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Solution

The fourth proportional to 52,474.93, 78,662.73 and 20,904.47 is: 31,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,474.93 : 78,662.73 = 20,904.47 : x
  2. Step 2: Convert to fraction form
    52,474.93/78,662.73 = 20,904.47/x
  3. Step 3: Cross multiply
    52,474.93x = 78,662.73 × 20,904.47
  4. Step 4: Simplify right side
    52,474.93x = 1,644,402,679.40
  5. Step 5: Solve for x
    x = 1,644,402,679.40/52,474.93
  6. Step 6: Final answer
    x = 31,336.92

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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.