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Finding the Fourth Proportional to 211,282, 291,569.16 and 121,858

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Solution

The fourth proportional to 211,282, 291,569.16 and 121,858 is: 168,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,282 : 291,569.16 = 121,858 : x
  2. Step 2: Convert to fraction form
    211,282/291,569.16 = 121,858/x
  3. Step 3: Cross multiply
    211,282x = 291,569.16 × 121,858
  4. Step 4: Simplify right side
    211,282x = 35,530,034,699.28
  5. Step 5: Solve for x
    x = 35,530,034,699.28/211,282
  6. Step 6: Final answer
    x = 168,164.04

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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.