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Finding the Fourth Proportional to 202,239.60, 279,146.16 and 117,384

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Solution

The fourth proportional to 202,239.60, 279,146.16 and 117,384 is: 162,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,239.60 : 279,146.16 = 117,384 : x
  2. Step 2: Convert to fraction form
    202,239.60/279,146.16 = 117,384/x
  3. Step 3: Cross multiply
    202,239.60x = 279,146.16 × 117,384
  4. Step 4: Simplify right side
    202,239.60x = 32,767,292,845.44
  5. Step 5: Solve for x
    x = 32,767,292,845.44/202,239.60
  6. Step 6: Final answer
    x = 162,022.14

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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.