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Finding the Fourth Proportional to 130,168.34, 195,029.60 and 71,045.50

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Solution

The fourth proportional to 130,168.34, 195,029.60 and 71,045.50 is: 106,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,168.34 : 195,029.60 = 71,045.50 : x
  2. Step 2: Convert to fraction form
    130,168.34/195,029.60 = 71,045.50/x
  3. Step 3: Cross multiply
    130,168.34x = 195,029.60 × 71,045.50
  4. Step 4: Simplify right side
    130,168.34x = 13,855,975,446.80
  5. Step 5: Solve for x
    x = 13,855,975,446.80/130,168.34
  6. Step 6: Final answer
    x = 106,446.59

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