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Finding the Fourth Proportional to 180,646.15, 270,999.66 and 66,800.65

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Solution

The fourth proportional to 180,646.15, 270,999.66 and 66,800.65 is: 100,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,646.15 : 270,999.66 = 66,800.65 : x
  2. Step 2: Convert to fraction form
    180,646.15/270,999.66 = 66,800.65/x
  3. Step 3: Cross multiply
    180,646.15x = 270,999.66 × 66,800.65
  4. Step 4: Simplify right side
    180,646.15x = 18,102,953,437.78
  5. Step 5: Solve for x
    x = 18,102,953,437.78/180,646.15
  6. Step 6: Final answer
    x = 100,212.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.