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Finding the Fourth Proportional to 203,572, 280,929.36 and 114,148

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Solution

The fourth proportional to 203,572, 280,929.36 and 114,148 is: 157,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,572 : 280,929.36 = 114,148 : x
  2. Step 2: Convert to fraction form
    203,572/280,929.36 = 114,148/x
  3. Step 3: Cross multiply
    203,572x = 280,929.36 × 114,148
  4. Step 4: Simplify right side
    203,572x = 32,067,524,585.28
  5. Step 5: Solve for x
    x = 32,067,524,585.28/203,572
  6. Step 6: Final answer
    x = 157,524.24

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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.