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Finding the Fourth Proportional to 167,384.78, 230,989.95 and 100,316.78

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Solution

The fourth proportional to 167,384.78, 230,989.95 and 100,316.78 is: 138,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,384.78 : 230,989.95 = 100,316.78 : x
  2. Step 2: Convert to fraction form
    167,384.78/230,989.95 = 100,316.78/x
  3. Step 3: Cross multiply
    167,384.78x = 230,989.95 × 100,316.78
  4. Step 4: Simplify right side
    167,384.78x = 23,172,167,996.36
  5. Step 5: Solve for x
    x = 23,172,167,996.36/167,384.78
  6. Step 6: Final answer
    x = 138,436.53

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1.5x scale

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.