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Finding the Fourth Proportional to 52,707.80, 72,797.22 and 38,431.40

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Solution

The fourth proportional to 52,707.80, 72,797.22 and 38,431.40 is: 53,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,707.80 : 72,797.22 = 38,431.40 : x
  2. Step 2: Convert to fraction form
    52,707.80/72,797.22 = 38,431.40/x
  3. Step 3: Cross multiply
    52,707.80x = 72,797.22 × 38,431.40
  4. Step 4: Simplify right side
    52,707.80x = 2,797,699,080.71
  5. Step 5: Solve for x
    x = 2,797,699,080.71/52,707.80
  6. Step 6: Final answer
    x = 53,079.41

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