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Finding the Fourth Proportional to 211,527, 291,907.26 and 122,103

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Solution

The fourth proportional to 211,527, 291,907.26 and 122,103 is: 168,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,527 : 291,907.26 = 122,103 : x
  2. Step 2: Convert to fraction form
    211,527/291,907.26 = 122,103/x
  3. Step 3: Cross multiply
    211,527x = 291,907.26 × 122,103
  4. Step 4: Simplify right side
    211,527x = 35,642,752,167.78
  5. Step 5: Solve for x
    x = 35,642,752,167.78/211,527
  6. Step 6: Final answer
    x = 168,502.14

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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.