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Finding the Fourth Proportional to 97,991.74, 146,988.42 and 31,432

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Solution

The fourth proportional to 97,991.74, 146,988.42 and 31,432 is: 47,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,991.74 : 146,988.42 = 31,432 : x
  2. Step 2: Convert to fraction form
    97,991.74/146,988.42 = 31,432/x
  3. Step 3: Cross multiply
    97,991.74x = 146,988.42 × 31,432
  4. Step 4: Simplify right side
    97,991.74x = 4,620,140,017.44
  5. Step 5: Solve for x
    x = 4,620,140,017.44/97,991.74
  6. Step 6: Final answer
    x = 47,148.26

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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.