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Finding the Fourth Proportional to 53,065, 73,229.70 and 30,709

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Solution

The fourth proportional to 53,065, 73,229.70 and 30,709 is: 42,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,065 : 73,229.70 = 30,709 : x
  2. Step 2: Convert to fraction form
    53,065/73,229.70 = 30,709/x
  3. Step 3: Cross multiply
    53,065x = 73,229.70 × 30,709
  4. Step 4: Simplify right side
    53,065x = 2,248,810,857.30
  5. Step 5: Solve for x
    x = 2,248,810,857.30/53,065
  6. Step 6: Final answer
    x = 42,378.42

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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.