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Finding the Fourth Proportional to 211,788, 317,747.61 and 87,129

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Solution

The fourth proportional to 211,788, 317,747.61 and 87,129 is: 130,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,788 : 317,747.61 = 87,129 : x
  2. Step 2: Convert to fraction form
    211,788/317,747.61 = 87,129/x
  3. Step 3: Cross multiply
    211,788x = 317,747.61 × 87,129
  4. Step 4: Simplify right side
    211,788x = 27,685,031,511.69
  5. Step 5: Solve for x
    x = 27,685,031,511.69/211,788
  6. Step 6: Final answer
    x = 130,720.49

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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.