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Finding the Fourth Proportional to 203,289.82, 280,544.01 and 118,412.35

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Solution

The fourth proportional to 203,289.82, 280,544.01 and 118,412.35 is: 163,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,289.82 : 280,544.01 = 118,412.35 : x
  2. Step 2: Convert to fraction form
    203,289.82/280,544.01 = 118,412.35/x
  3. Step 3: Cross multiply
    203,289.82x = 280,544.01 × 118,412.35
  4. Step 4: Simplify right side
    203,289.82x = 33,219,874,357.12
  5. Step 5: Solve for x
    x = 33,219,874,357.12/203,289.82
  6. Step 6: Final answer
    x = 163,411.40

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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.