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Finding the Fourth Proportional to 211,526, 291,905.88 and 122,102

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Solution

The fourth proportional to 211,526, 291,905.88 and 122,102 is: 168,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,526 : 291,905.88 = 122,102 : x
  2. Step 2: Convert to fraction form
    211,526/291,905.88 = 122,102/x
  3. Step 3: Cross multiply
    211,526x = 291,905.88 × 122,102
  4. Step 4: Simplify right side
    211,526x = 35,642,291,759.76
  5. Step 5: Solve for x
    x = 35,642,291,759.76/211,526
  6. Step 6: Final answer
    x = 168,500.76

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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.