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Finding the Fourth Proportional to 213,755.68, 320,326.80 and 120,064.24

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Solution

The fourth proportional to 213,755.68, 320,326.80 and 120,064.24 is: 179,924.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,755.68 : 320,326.80 = 120,064.24 : x
  2. Step 2: Convert to fraction form
    213,755.68/320,326.80 = 120,064.24/x
  3. Step 3: Cross multiply
    213,755.68x = 320,326.80 × 120,064.24
  4. Step 4: Simplify right side
    213,755.68x = 38,459,793,793.63
  5. Step 5: Solve for x
    x = 38,459,793,793.63/213,755.68
  6. Step 6: Final answer
    x = 179,924.08

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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.