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Finding the Fourth Proportional to 211,374, 291,696.12 and 122,001.84

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Solution

The fourth proportional to 211,374, 291,696.12 and 122,001.84 is: 168,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,374 : 291,696.12 = 122,001.84 : x
  2. Step 2: Convert to fraction form
    211,374/291,696.12 = 122,001.84/x
  3. Step 3: Cross multiply
    211,374x = 291,696.12 × 122,001.84
  4. Step 4: Simplify right side
    211,374x = 35,587,463,360.86
  5. Step 5: Solve for x
    x = 35,587,463,360.86/211,374
  6. Step 6: Final answer
    x = 168,362.54

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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.