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Finding the Fourth Proportional to 211,857, 292,357.62 and 116,363.40

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Solution

The fourth proportional to 211,857, 292,357.62 and 116,363.40 is: 160,578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,857 : 292,357.62 = 116,363.40 : x
  2. Step 2: Convert to fraction form
    211,857/292,357.62 = 116,363.40/x
  3. Step 3: Cross multiply
    211,857x = 292,357.62 × 116,363.40
  4. Step 4: Simplify right side
    211,857x = 34,019,726,679.11
  5. Step 5: Solve for x
    x = 34,019,726,679.11/211,857
  6. Step 6: Final answer
    x = 160,578.72

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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.