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Finding the Fourth Proportional to 154,876.25, 213,725.86 and 86,892.01

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Solution

The fourth proportional to 154,876.25, 213,725.86 and 86,892.01 is: 119,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,876.25 : 213,725.86 = 86,892.01 : x
  2. Step 2: Convert to fraction form
    154,876.25/213,725.86 = 86,892.01/x
  3. Step 3: Cross multiply
    154,876.25x = 213,725.86 × 86,892.01
  4. Step 4: Simplify right side
    154,876.25x = 18,571,068,812.83
  5. Step 5: Solve for x
    x = 18,571,068,812.83/154,876.25
  6. Step 6: Final answer
    x = 119,909.08

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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.