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Finding the Fourth Proportional to 42,932, 59,226 and 30,363.68

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Solution

The fourth proportional to 42,932, 59,226 and 30,363.68 is: 41,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,932 : 59,226 = 30,363.68 : x
  2. Step 2: Convert to fraction form
    42,932/59,226 = 30,363.68/x
  3. Step 3: Cross multiply
    42,932x = 59,226 × 30,363.68
  4. Step 4: Simplify right side
    42,932x = 1,798,319,311.68
  5. Step 5: Solve for x
    x = 1,798,319,311.68/42,932
  6. Step 6: Final answer
    x = 41,887.62

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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.