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Finding the Fourth Proportional to 119,362.25, 164,720.36 and 65,650.65

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Solution

The fourth proportional to 119,362.25, 164,720.36 and 65,650.65 is: 90,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,362.25 : 164,720.36 = 65,650.65 : x
  2. Step 2: Convert to fraction form
    119,362.25/164,720.36 = 65,650.65/x
  3. Step 3: Cross multiply
    119,362.25x = 164,720.36 × 65,650.65
  4. Step 4: Simplify right side
    119,362.25x = 10,813,998,373.98
  5. Step 5: Solve for x
    x = 10,813,998,373.98/119,362.25
  6. Step 6: Final answer
    x = 90,598.15

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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.