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Finding the Fourth Proportional to 106,687.98, 160,040.28 and 31,802.40

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Solution

The fourth proportional to 106,687.98, 160,040.28 and 31,802.40 is: 47,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,687.98 : 160,040.28 = 31,802.40 : x
  2. Step 2: Convert to fraction form
    106,687.98/160,040.28 = 31,802.40/x
  3. Step 3: Cross multiply
    106,687.98x = 160,040.28 × 31,802.40
  4. Step 4: Simplify right side
    106,687.98x = 5,089,665,000.67
  5. Step 5: Solve for x
    x = 5,089,665,000.67/106,687.98
  6. Step 6: Final answer
    x = 47,706.08

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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.