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Finding the Fourth Proportional to 149,902.86, 206,873.96 and 86,250.36

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Solution

The fourth proportional to 149,902.86, 206,873.96 and 86,250.36 is: 119,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,902.86 : 206,873.96 = 86,250.36 : x
  2. Step 2: Convert to fraction form
    149,902.86/206,873.96 = 86,250.36/x
  3. Step 3: Cross multiply
    149,902.86x = 206,873.96 × 86,250.36
  4. Step 4: Simplify right side
    149,902.86x = 17,842,953,093.37
  5. Step 5: Solve for x
    x = 17,842,953,093.37/149,902.86
  6. Step 6: Final answer
    x = 119,030.10

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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.