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Finding the Fourth Proportional to 211,896, 292,455.36 and 122,472

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Solution

The fourth proportional to 211,896, 292,455.36 and 122,472 is: 169,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,896 : 292,455.36 = 122,472 : x
  2. Step 2: Convert to fraction form
    211,896/292,455.36 = 122,472/x
  3. Step 3: Cross multiply
    211,896x = 292,455.36 × 122,472
  4. Step 4: Simplify right side
    211,896x = 35,817,592,849.92
  5. Step 5: Solve for x
    x = 35,817,592,849.92/211,896
  6. Step 6: Final answer
    x = 169,033.83

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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.