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Finding the Fourth Proportional to 58,396, 80,586.80 and 31,900

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Solution

The fourth proportional to 58,396, 80,586.80 and 31,900 is: 44,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,396 : 80,586.80 = 31,900 : x
  2. Step 2: Convert to fraction form
    58,396/80,586.80 = 31,900/x
  3. Step 3: Cross multiply
    58,396x = 80,586.80 × 31,900
  4. Step 4: Simplify right side
    58,396x = 2,570,718,920
  5. Step 5: Solve for x
    x = 2,570,718,920/58,396
  6. Step 6: Final answer
    x = 44,022.17

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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.