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Finding the Fourth Proportional to 52,345, 72,236.64 and 28,471.96

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Solution

The fourth proportional to 52,345, 72,236.64 and 28,471.96 is: 39,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,345 : 72,236.64 = 28,471.96 : x
  2. Step 2: Convert to fraction form
    52,345/72,236.64 = 28,471.96/x
  3. Step 3: Cross multiply
    52,345x = 72,236.64 × 28,471.96
  4. Step 4: Simplify right side
    52,345x = 2,056,718,724.61
  5. Step 5: Solve for x
    x = 2,056,718,724.61/52,345
  6. Step 6: Final answer
    x = 39,291.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.