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Finding the Fourth Proportional to 198,858.63, 274,424.95 and 109,434.63

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Solution

The fourth proportional to 198,858.63, 274,424.95 and 109,434.63 is: 151,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,858.63 : 274,424.95 = 109,434.63 : x
  2. Step 2: Convert to fraction form
    198,858.63/274,424.95 = 109,434.63/x
  3. Step 3: Cross multiply
    198,858.63x = 274,424.95 × 109,434.63
  4. Step 4: Simplify right side
    198,858.63x = 30,031,592,866.02
  5. Step 5: Solve for x
    x = 30,031,592,866.02/198,858.63
  6. Step 6: Final answer
    x = 151,019.81

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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.