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Finding the Fourth Proportional to 211,248, 291,522.24 and 121,824

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Solution

The fourth proportional to 211,248, 291,522.24 and 121,824 is: 168,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,248 : 291,522.24 = 121,824 : x
  2. Step 2: Convert to fraction form
    211,248/291,522.24 = 121,824/x
  3. Step 3: Cross multiply
    211,248x = 291,522.24 × 121,824
  4. Step 4: Simplify right side
    211,248x = 35,514,405,365.76
  5. Step 5: Solve for x
    x = 35,514,405,365.76/211,248
  6. Step 6: Final answer
    x = 168,117.12

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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.