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Finding the Fourth Proportional to 119,209.65, 164,509.53 and 65,494.20

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Solution

The fourth proportional to 119,209.65, 164,509.53 and 65,494.20 is: 90,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,209.65 : 164,509.53 = 65,494.20 : x
  2. Step 2: Convert to fraction form
    119,209.65/164,509.53 = 65,494.20/x
  3. Step 3: Cross multiply
    119,209.65x = 164,509.53 × 65,494.20
  4. Step 4: Simplify right side
    119,209.65x = 10,774,420,059.73
  5. Step 5: Solve for x
    x = 10,774,420,059.73/119,209.65
  6. Step 6: Final answer
    x = 90,382.11

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1.5x scale

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.