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Finding the Fourth Proportional to 58,407, 80,601.66 and 31,911

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Solution

The fourth proportional to 58,407, 80,601.66 and 31,911 is: 44,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,407 : 80,601.66 = 31,911 : x
  2. Step 2: Convert to fraction form
    58,407/80,601.66 = 31,911/x
  3. Step 3: Cross multiply
    58,407x = 80,601.66 × 31,911
  4. Step 4: Simplify right side
    58,407x = 2,572,079,572.26
  5. Step 5: Solve for x
    x = 2,572,079,572.26/58,407
  6. Step 6: Final answer
    x = 44,037.18

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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.