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Finding the Fourth Proportional to 212,210, 292,864.20 and 122,786

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Solution

The fourth proportional to 212,210, 292,864.20 and 122,786 is: 169,453.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,210 : 292,864.20 = 122,786 : x
  2. Step 2: Convert to fraction form
    212,210/292,864.20 = 122,786/x
  3. Step 3: Cross multiply
    212,210x = 292,864.20 × 122,786
  4. Step 4: Simplify right side
    212,210x = 35,959,623,661.20
  5. Step 5: Solve for x
    x = 35,959,623,661.20/212,210
  6. Step 6: Final answer
    x = 169,453.01

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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.