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Finding the Fourth Proportional to 154,113.80, 212,675.37 and 85,202.96

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Solution

The fourth proportional to 154,113.80, 212,675.37 and 85,202.96 is: 117,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,113.80 : 212,675.37 = 85,202.96 : x
  2. Step 2: Convert to fraction form
    154,113.80/212,675.37 = 85,202.96/x
  3. Step 3: Cross multiply
    154,113.80x = 212,675.37 × 85,202.96
  4. Step 4: Simplify right side
    154,113.80x = 18,120,569,979.72
  5. Step 5: Solve for x
    x = 18,120,569,979.72/154,113.80
  6. Step 6: Final answer
    x = 117,579.16

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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.