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Finding the Fourth Proportional to 211,524, 291,903.12 and 122,100

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Solution

The fourth proportional to 211,524, 291,903.12 and 122,100 is: 168,498

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,524 : 291,903.12 = 122,100 : x
  2. Step 2: Convert to fraction form
    211,524/291,903.12 = 122,100/x
  3. Step 3: Cross multiply
    211,524x = 291,903.12 × 122,100
  4. Step 4: Simplify right side
    211,524x = 35,641,370,952
  5. Step 5: Solve for x
    x = 35,641,370,952/211,524
  6. Step 6: Final answer
    x = 168,498

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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.