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Finding the Fourth Proportional to 213,184.80, 319,892.40 and 94,874.40

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Solution

The fourth proportional to 213,184.80, 319,892.40 and 94,874.40 is: 142,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,184.80 : 319,892.40 = 94,874.40 : x
  2. Step 2: Convert to fraction form
    213,184.80/319,892.40 = 94,874.40/x
  3. Step 3: Cross multiply
    213,184.80x = 319,892.40 × 94,874.40
  4. Step 4: Simplify right side
    213,184.80x = 30,349,599,514.56
  5. Step 5: Solve for x
    x = 30,349,599,514.56/213,184.80
  6. Step 6: Final answer
    x = 142,362.87

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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.