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Finding the Fourth Proportional to 58,409, 80,604.42 and 31,913

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Solution

The fourth proportional to 58,409, 80,604.42 and 31,913 is: 44,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,409 : 80,604.42 = 31,913 : x
  2. Step 2: Convert to fraction form
    58,409/80,604.42 = 31,913/x
  3. Step 3: Cross multiply
    58,409x = 80,604.42 × 31,913
  4. Step 4: Simplify right side
    58,409x = 2,572,328,855.46
  5. Step 5: Solve for x
    x = 2,572,328,855.46/58,409
  6. Step 6: Final answer
    x = 44,039.94

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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.