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Finding the Fourth Proportional to 211,240.60, 316,976.10 and 86,594.20

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Solution

The fourth proportional to 211,240.60, 316,976.10 and 86,594.20 is: 129,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,240.60 : 316,976.10 = 86,594.20 : x
  2. Step 2: Convert to fraction form
    211,240.60/316,976.10 = 86,594.20/x
  3. Step 3: Cross multiply
    211,240.60x = 316,976.10 × 86,594.20
  4. Step 4: Simplify right side
    211,240.60x = 27,448,291,798.62
  5. Step 5: Solve for x
    x = 27,448,291,798.62/211,240.60
  6. Step 6: Final answer
    x = 129,938.52

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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.