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Finding the Fourth Proportional to 210,785.86, 290,882.37 and 115,294.42

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Solution

The fourth proportional to 210,785.86, 290,882.37 and 115,294.42 is: 159,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,785.86 : 290,882.37 = 115,294.42 : x
  2. Step 2: Convert to fraction form
    210,785.86/290,882.37 = 115,294.42/x
  3. Step 3: Cross multiply
    210,785.86x = 290,882.37 × 115,294.42
  4. Step 4: Simplify right side
    210,785.86x = 33,537,114,137.38
  5. Step 5: Solve for x
    x = 33,537,114,137.38/210,785.86
  6. Step 6: Final answer
    x = 159,105.14

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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.