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Finding the Fourth Proportional to 130,168.78, 195,030.26 and 71,045.94

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Solution

The fourth proportional to 130,168.78, 195,030.26 and 71,045.94 is: 106,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,168.78 : 195,030.26 = 71,045.94 : x
  2. Step 2: Convert to fraction form
    130,168.78/195,030.26 = 71,045.94/x
  3. Step 3: Cross multiply
    130,168.78x = 195,030.26 × 71,045.94
  4. Step 4: Simplify right side
    130,168.78x = 13,856,108,150.14
  5. Step 5: Solve for x
    x = 13,856,108,150.14/130,168.78
  6. Step 6: Final answer
    x = 106,447.25

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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.