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Finding the Fourth Proportional to 130,170.34, 195,032.60 and 71,047.50

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Solution

The fourth proportional to 130,170.34, 195,032.60 and 71,047.50 is: 106,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,170.34 : 195,032.60 = 71,047.50 : x
  2. Step 2: Convert to fraction form
    130,170.34/195,032.60 = 71,047.50/x
  3. Step 3: Cross multiply
    130,170.34x = 195,032.60 × 71,047.50
  4. Step 4: Simplify right side
    130,170.34x = 13,856,578,648.50
  5. Step 5: Solve for x
    x = 13,856,578,648.50/130,170.34
  6. Step 6: Final answer
    x = 106,449.58

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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.