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Finding the Fourth Proportional to 211,899, 292,459.50 and 122,475

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Solution

The fourth proportional to 211,899, 292,459.50 and 122,475 is: 169,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,899 : 292,459.50 = 122,475 : x
  2. Step 2: Convert to fraction form
    211,899/292,459.50 = 122,475/x
  3. Step 3: Cross multiply
    211,899x = 292,459.50 × 122,475
  4. Step 4: Simplify right side
    211,899x = 35,818,977,262.50
  5. Step 5: Solve for x
    x = 35,818,977,262.50/211,899
  6. Step 6: Final answer
    x = 169,037.97

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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.