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Finding the Fourth Proportional to 211,208, 291,395.28 and 120,498.80

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Solution

The fourth proportional to 211,208, 291,395.28 and 120,498.80 is: 166,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,208 : 291,395.28 = 120,498.80 : x
  2. Step 2: Convert to fraction form
    211,208/291,395.28 = 120,498.80/x
  3. Step 3: Cross multiply
    211,208x = 291,395.28 × 120,498.80
  4. Step 4: Simplify right side
    211,208x = 35,112,781,565.66
  5. Step 5: Solve for x
    x = 35,112,781,565.66/211,208
  6. Step 6: Final answer
    x = 166,247.40

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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.