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Finding the Fourth Proportional to 203,557.64, 280,901.94 and 114,127.88

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Solution

The fourth proportional to 203,557.64, 280,901.94 and 114,127.88 is: 157,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,557.64 : 280,901.94 = 114,127.88 : x
  2. Step 2: Convert to fraction form
    203,557.64/280,901.94 = 114,127.88/x
  3. Step 3: Cross multiply
    203,557.64x = 280,901.94 × 114,127.88
  4. Step 4: Simplify right side
    203,557.64x = 32,058,742,900.09
  5. Step 5: Solve for x
    x = 32,058,742,900.09/203,557.64
  6. Step 6: Final answer
    x = 157,492.21

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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.