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Finding the Fourth Proportional to 211,908, 292,471.92 and 122,484

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Solution

The fourth proportional to 211,908, 292,471.92 and 122,484 is: 169,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,908 : 292,471.92 = 122,484 : x
  2. Step 2: Convert to fraction form
    211,908/292,471.92 = 122,484/x
  3. Step 3: Cross multiply
    211,908x = 292,471.92 × 122,484
  4. Step 4: Simplify right side
    211,908x = 35,823,130,649.28
  5. Step 5: Solve for x
    x = 35,823,130,649.28/211,908
  6. Step 6: Final answer
    x = 169,050.39

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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.