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Finding the Fourth Proportional to 58,386, 80,573 and 31,890

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Solution

The fourth proportional to 58,386, 80,573 and 31,890 is: 44,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,386 : 80,573 = 31,890 : x
  2. Step 2: Convert to fraction form
    58,386/80,573 = 31,890/x
  3. Step 3: Cross multiply
    58,386x = 80,573 × 31,890
  4. Step 4: Simplify right side
    58,386x = 2,569,472,970
  5. Step 5: Solve for x
    x = 2,569,472,970/58,386
  6. Step 6: Final answer
    x = 44,008.37

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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.