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Finding the Fourth Proportional to 153,310, 211,571.04 and 86,242

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Solution

The fourth proportional to 153,310, 211,571.04 and 86,242 is: 119,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,310 : 211,571.04 = 86,242 : x
  2. Step 2: Convert to fraction form
    153,310/211,571.04 = 86,242/x
  3. Step 3: Cross multiply
    153,310x = 211,571.04 × 86,242
  4. Step 4: Simplify right side
    153,310x = 18,246,309,631.68
  5. Step 5: Solve for x
    x = 18,246,309,631.68/153,310
  6. Step 6: Final answer
    x = 119,015.78

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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.