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Finding the Fourth Proportional to 211,951.82, 292,492.68 and 121,307.42

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Solution

The fourth proportional to 211,951.82, 292,492.68 and 121,307.42 is: 167,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,951.82 : 292,492.68 = 121,307.42 : x
  2. Step 2: Convert to fraction form
    211,951.82/292,492.68 = 121,307.42/x
  3. Step 3: Cross multiply
    211,951.82x = 292,492.68 × 121,307.42
  4. Step 4: Simplify right side
    211,951.82x = 35,481,532,379.69
  5. Step 5: Solve for x
    x = 35,481,532,379.69/211,951.82
  6. Step 6: Final answer
    x = 167,403.76

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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.