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Finding the Fourth Proportional to 119,209.51, 164,501.67 and 109,687.87

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Solution

The fourth proportional to 119,209.51, 164,501.67 and 109,687.87 is: 151,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,209.51 : 164,501.67 = 109,687.87 : x
  2. Step 2: Convert to fraction form
    119,209.51/164,501.67 = 109,687.87/x
  3. Step 3: Cross multiply
    119,209.51x = 164,501.67 × 109,687.87
  4. Step 4: Simplify right side
    119,209.51x = 18,043,837,793.74
  5. Step 5: Solve for x
    x = 18,043,837,793.74/119,209.51
  6. Step 6: Final answer
    x = 151,362.40

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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.