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Finding the Fourth Proportional to 52,033.86, 71,807.31 and 30,528.36

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Solution

The fourth proportional to 52,033.86, 71,807.31 and 30,528.36 is: 42,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.86 : 71,807.31 = 30,528.36 : x
  2. Step 2: Convert to fraction form
    52,033.86/71,807.31 = 30,528.36/x
  3. Step 3: Cross multiply
    52,033.86x = 71,807.31 × 30,528.36
  4. Step 4: Simplify right side
    52,033.86x = 2,192,159,410.31
  5. Step 5: Solve for x
    x = 2,192,159,410.31/52,033.86
  6. Step 6: Final answer
    x = 42,129.48

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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.