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Finding the Fourth Proportional to 52,806.40, 72,865.92 and 31,577.92

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Solution

The fourth proportional to 52,806.40, 72,865.92 and 31,577.92 is: 43,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,806.40 : 72,865.92 = 31,577.92 : x
  2. Step 2: Convert to fraction form
    52,806.40/72,865.92 = 31,577.92/x
  3. Step 3: Cross multiply
    52,806.40x = 72,865.92 × 31,577.92
  4. Step 4: Simplify right side
    52,806.40x = 2,300,954,192.49
  5. Step 5: Solve for x
    x = 2,300,954,192.49/52,806.40
  6. Step 6: Final answer
    x = 43,573.40

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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.