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Finding the Fourth Proportional to 42,940, 59,237.04 and 30,371.68

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Solution

The fourth proportional to 42,940, 59,237.04 and 30,371.68 is: 41,898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,940 : 59,237.04 = 30,371.68 : x
  2. Step 2: Convert to fraction form
    42,940/59,237.04 = 30,371.68/x
  3. Step 3: Cross multiply
    42,940x = 59,237.04 × 30,371.68
  4. Step 4: Simplify right side
    42,940x = 1,799,128,423.03
  5. Step 5: Solve for x
    x = 1,799,128,423.03/42,940
  6. Step 6: Final answer
    x = 41,898.66

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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.