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Finding the Fourth Proportional to 176,000, 242,780.64 and 104,309.60

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Solution

The fourth proportional to 176,000, 242,780.64 and 104,309.60 is: 143,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,000 : 242,780.64 = 104,309.60 : x
  2. Step 2: Convert to fraction form
    176,000/242,780.64 = 104,309.60/x
  3. Step 3: Cross multiply
    176,000x = 242,780.64 × 104,309.60
  4. Step 4: Simplify right side
    176,000x = 25,324,351,446.14
  5. Step 5: Solve for x
    x = 25,324,351,446.14/176,000
  6. Step 6: Final answer
    x = 143,888.36

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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.