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Finding the Fourth Proportional to 159,054.50, 219,493.43 and 86,455.82

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Solution

The fourth proportional to 159,054.50, 219,493.43 and 86,455.82 is: 119,308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,054.50 : 219,493.43 = 86,455.82 : x
  2. Step 2: Convert to fraction form
    159,054.50/219,493.43 = 86,455.82/x
  3. Step 3: Cross multiply
    159,054.50x = 219,493.43 × 86,455.82
  4. Step 4: Simplify right side
    159,054.50x = 18,976,484,417.04
  5. Step 5: Solve for x
    x = 18,976,484,417.04/159,054.50
  6. Step 6: Final answer
    x = 119,308.06

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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.