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Finding the Fourth Proportional to 130,471.85, 179,927.16 and 85,135.34

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Solution

The fourth proportional to 130,471.85, 179,927.16 and 85,135.34 is: 117,405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,471.85 : 179,927.16 = 85,135.34 : x
  2. Step 2: Convert to fraction form
    130,471.85/179,927.16 = 85,135.34/x
  3. Step 3: Cross multiply
    130,471.85x = 179,927.16 × 85,135.34
  4. Step 4: Simplify right side
    130,471.85x = 15,318,159,042.20
  5. Step 5: Solve for x
    x = 15,318,159,042.20/130,471.85
  6. Step 6: Final answer
    x = 117,405.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.