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Finding the Fourth Proportional to 211,523.56, 316,957.29 and 122,556.40

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Solution

The fourth proportional to 211,523.56, 316,957.29 and 122,556.40 is: 183,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,523.56 : 316,957.29 = 122,556.40 : x
  2. Step 2: Convert to fraction form
    211,523.56/316,957.29 = 122,556.40/x
  3. Step 3: Cross multiply
    211,523.56x = 316,957.29 × 122,556.40
  4. Step 4: Simplify right side
    211,523.56x = 38,845,144,416.16
  5. Step 5: Solve for x
    x = 38,845,144,416.16/211,523.56
  6. Step 6: Final answer
    x = 183,644.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.