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Finding the Fourth Proportional to 105,471, 158,232.42 and 31,599

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Solution

The fourth proportional to 105,471, 158,232.42 and 31,599 is: 47,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,471 : 158,232.42 = 31,599 : x
  2. Step 2: Convert to fraction form
    105,471/158,232.42 = 31,599/x
  3. Step 3: Cross multiply
    105,471x = 158,232.42 × 31,599
  4. Step 4: Simplify right side
    105,471x = 4,999,986,239.58
  5. Step 5: Solve for x
    x = 4,999,986,239.58/105,471
  6. Step 6: Final answer
    x = 47,406.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.