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Finding the Fourth Proportional to 211,897, 292,456.74 and 122,473

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Solution

The fourth proportional to 211,897, 292,456.74 and 122,473 is: 169,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,897 : 292,456.74 = 122,473 : x
  2. Step 2: Convert to fraction form
    211,897/292,456.74 = 122,473/x
  3. Step 3: Cross multiply
    211,897x = 292,456.74 × 122,473
  4. Step 4: Simplify right side
    211,897x = 35,818,054,318.02
  5. Step 5: Solve for x
    x = 35,818,054,318.02/211,897
  6. Step 6: Final answer
    x = 169,035.21

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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.