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Finding the Fourth Proportional to 128,644.16, 193,262.88 and 123,329.84

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Solution

The fourth proportional to 128,644.16, 193,262.88 and 123,329.84 is: 185,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,644.16 : 193,262.88 = 123,329.84 : x
  2. Step 2: Convert to fraction form
    128,644.16/193,262.88 = 123,329.84/x
  3. Step 3: Cross multiply
    128,644.16x = 193,262.88 × 123,329.84
  4. Step 4: Simplify right side
    128,644.16x = 23,835,080,068.34
  5. Step 5: Solve for x
    x = 23,835,080,068.34/128,644.16
  6. Step 6: Final answer
    x = 185,279.15

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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.