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Finding the Fourth Proportional to 211,698.78, 292,142.53 and 116,199.78

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Solution

The fourth proportional to 211,698.78, 292,142.53 and 116,199.78 is: 160,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,698.78 : 292,142.53 = 116,199.78 : x
  2. Step 2: Convert to fraction form
    211,698.78/292,142.53 = 116,199.78/x
  3. Step 3: Cross multiply
    211,698.78x = 292,142.53 × 116,199.78
  4. Step 4: Simplify right side
    211,698.78x = 33,946,897,714.64
  5. Step 5: Solve for x
    x = 33,946,897,714.64/211,698.78
  6. Step 6: Final answer
    x = 160,354.72

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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.