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Finding the Fourth Proportional to 201,390.63, 277,927.10 and 120,788.74

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Solution

The fourth proportional to 201,390.63, 277,927.10 and 120,788.74 is: 166,693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,390.63 : 277,927.10 = 120,788.74 : x
  2. Step 2: Convert to fraction form
    201,390.63/277,927.10 = 120,788.74/x
  3. Step 3: Cross multiply
    201,390.63x = 277,927.10 × 120,788.74
  4. Step 4: Simplify right side
    201,390.63x = 33,570,464,220.85
  5. Step 5: Solve for x
    x = 33,570,464,220.85/201,390.63
  6. Step 6: Final answer
    x = 166,693.28

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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.