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Finding the Fourth Proportional to 213,859.35, 295,159.01 and 121,978.80

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Solution

The fourth proportional to 213,859.35, 295,159.01 and 121,978.80 is: 168,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,859.35 : 295,159.01 = 121,978.80 : x
  2. Step 2: Convert to fraction form
    213,859.35/295,159.01 = 121,978.80/x
  3. Step 3: Cross multiply
    213,859.35x = 295,159.01 × 121,978.80
  4. Step 4: Simplify right side
    213,859.35x = 36,003,141,239.09
  5. Step 5: Solve for x
    x = 36,003,141,239.09/213,859.35
  6. Step 6: Final answer
    x = 168,349.62

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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.