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Finding the Fourth Proportional to 211,432, 291,776.16 and 122,059.84

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Solution

The fourth proportional to 211,432, 291,776.16 and 122,059.84 is: 168,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,432 : 291,776.16 = 122,059.84 : x
  2. Step 2: Convert to fraction form
    211,432/291,776.16 = 122,059.84/x
  3. Step 3: Cross multiply
    211,432x = 291,776.16 × 122,059.84
  4. Step 4: Simplify right side
    211,432x = 35,614,151,405.41
  5. Step 5: Solve for x
    x = 35,614,151,405.41/211,432
  6. Step 6: Final answer
    x = 168,442.58

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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.