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Finding the Fourth Proportional to 201,389.63, 277,925.72 and 120,787.74

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Solution

The fourth proportional to 201,389.63, 277,925.72 and 120,787.74 is: 166,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,389.63 : 277,925.72 = 120,787.74 : x
  2. Step 2: Convert to fraction form
    201,389.63/277,925.72 = 120,787.74/x
  3. Step 3: Cross multiply
    201,389.63x = 277,925.72 × 120,787.74
  4. Step 4: Simplify right side
    201,389.63x = 33,570,019,002.73
  5. Step 5: Solve for x
    x = 33,570,019,002.73/201,389.63
  6. Step 6: Final answer
    x = 166,691.90

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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.