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Finding the Fourth Proportional to 52,382, 72,287.16 and 30,038.96

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Solution

The fourth proportional to 52,382, 72,287.16 and 30,038.96 is: 41,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,382 : 72,287.16 = 30,038.96 : x
  2. Step 2: Convert to fraction form
    52,382/72,287.16 = 30,038.96/x
  3. Step 3: Cross multiply
    52,382x = 72,287.16 × 30,038.96
  4. Step 4: Simplify right side
    52,382x = 2,171,431,107.75
  5. Step 5: Solve for x
    x = 2,171,431,107.75/52,382
  6. Step 6: Final answer
    x = 41,453.76

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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.