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Finding the Fourth Proportional to 144,262.64, 199,138 and 129,128.60

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Solution

The fourth proportional to 144,262.64, 199,138 and 129,128.60 is: 178,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,262.64 : 199,138 = 129,128.60 : x
  2. Step 2: Convert to fraction form
    144,262.64/199,138 = 129,128.60/x
  3. Step 3: Cross multiply
    144,262.64x = 199,138 × 129,128.60
  4. Step 4: Simplify right side
    144,262.64x = 25,714,411,146.80
  5. Step 5: Solve for x
    x = 25,714,411,146.80/144,262.64
  6. Step 6: Final answer
    x = 178,247.20

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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.