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Finding the Fourth Proportional to 130,431.96, 195,647.90 and 31,935.96

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Solution

The fourth proportional to 130,431.96, 195,647.90 and 31,935.96 is: 47,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,431.96 : 195,647.90 = 31,935.96 : x
  2. Step 2: Convert to fraction form
    130,431.96/195,647.90 = 31,935.96/x
  3. Step 3: Cross multiply
    130,431.96x = 195,647.90 × 31,935.96
  4. Step 4: Simplify right side
    130,431.96x = 6,248,203,348.80
  5. Step 5: Solve for x
    x = 6,248,203,348.80/130,431.96
  6. Step 6: Final answer
    x = 47,903.93

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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.