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Finding the Fourth Proportional to 211,488, 291,872.15 and 116,013.30

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Solution

The fourth proportional to 211,488, 291,872.15 and 116,013.30 is: 160,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,488 : 291,872.15 = 116,013.30 : x
  2. Step 2: Convert to fraction form
    211,488/291,872.15 = 116,013.30/x
  3. Step 3: Cross multiply
    211,488x = 291,872.15 × 116,013.30
  4. Step 4: Simplify right side
    211,488x = 33,861,051,299.60
  5. Step 5: Solve for x
    x = 33,861,051,299.60/211,488
  6. Step 6: Final answer
    x = 160,108.62

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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.