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Finding the Fourth Proportional to 201,038.78, 277,438.35 and 109,161.98

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Solution

The fourth proportional to 201,038.78, 277,438.35 and 109,161.98 is: 150,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,038.78 : 277,438.35 = 109,161.98 : x
  2. Step 2: Convert to fraction form
    201,038.78/277,438.35 = 109,161.98/x
  3. Step 3: Cross multiply
    201,038.78x = 277,438.35 × 109,161.98
  4. Step 4: Simplify right side
    201,038.78x = 30,285,718,226.74
  5. Step 5: Solve for x
    x = 30,285,718,226.74/201,038.78
  6. Step 6: Final answer
    x = 150,646.15

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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.