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Finding the Fourth Proportional to 130,236, 195,354.96 and 31,740

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Solution

The fourth proportional to 130,236, 195,354.96 and 31,740 is: 47,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,236 : 195,354.96 = 31,740 : x
  2. Step 2: Convert to fraction form
    130,236/195,354.96 = 31,740/x
  3. Step 3: Cross multiply
    130,236x = 195,354.96 × 31,740
  4. Step 4: Simplify right side
    130,236x = 6,200,566,430.40
  5. Step 5: Solve for x
    x = 6,200,566,430.40/130,236
  6. Step 6: Final answer
    x = 47,610.23

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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.