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Finding the Fourth Proportional to 211,776, 292,250.88 and 122,352

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Solution

The fourth proportional to 211,776, 292,250.88 and 122,352 is: 168,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,776 : 292,250.88 = 122,352 : x
  2. Step 2: Convert to fraction form
    211,776/292,250.88 = 122,352/x
  3. Step 3: Cross multiply
    211,776x = 292,250.88 × 122,352
  4. Step 4: Simplify right side
    211,776x = 35,757,479,669.76
  5. Step 5: Solve for x
    x = 35,757,479,669.76/211,776
  6. Step 6: Final answer
    x = 168,845.76

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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.