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Finding the Fourth Proportional to 230,398, 317,965.56 and 129,796

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Solution

The fourth proportional to 230,398, 317,965.56 and 129,796 is: 179,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,398 : 317,965.56 = 129,796 : x
  2. Step 2: Convert to fraction form
    230,398/317,965.56 = 129,796/x
  3. Step 3: Cross multiply
    230,398x = 317,965.56 × 129,796
  4. Step 4: Simplify right side
    230,398x = 41,270,657,825.76
  5. Step 5: Solve for x
    x = 41,270,657,825.76/230,398
  6. Step 6: Final answer
    x = 179,127.67

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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.