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Finding the Fourth Proportional to 210,699.54, 290,755.17 and 120,076.74

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Solution

The fourth proportional to 210,699.54, 290,755.17 and 120,076.74 is: 165,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,699.54 : 290,755.17 = 120,076.74 : x
  2. Step 2: Convert to fraction form
    210,699.54/290,755.17 = 120,076.74/x
  3. Step 3: Cross multiply
    210,699.54x = 290,755.17 × 120,076.74
  4. Step 4: Simplify right side
    210,699.54x = 34,912,932,951.75
  5. Step 5: Solve for x
    x = 34,912,932,951.75/210,699.54
  6. Step 6: Final answer
    x = 165,700.09

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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.