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Finding the Fourth Proportional to 203,552, 280,901.76 and 114,128

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Solution

The fourth proportional to 203,552, 280,901.76 and 114,128 is: 157,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,552 : 280,901.76 = 114,128 : x
  2. Step 2: Convert to fraction form
    203,552/280,901.76 = 114,128/x
  3. Step 3: Cross multiply
    203,552x = 280,901.76 × 114,128
  4. Step 4: Simplify right side
    203,552x = 32,058,756,065.28
  5. Step 5: Solve for x
    x = 32,058,756,065.28/203,552
  6. Step 6: Final answer
    x = 157,496.64

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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.