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Finding the Fourth Proportional to 201,438.60, 277,999.74 and 120,864.12

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Solution

The fourth proportional to 201,438.60, 277,999.74 and 120,864.12 is: 166,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,438.60 : 277,999.74 = 120,864.12 : x
  2. Step 2: Convert to fraction form
    201,438.60/277,999.74 = 120,864.12/x
  3. Step 3: Cross multiply
    201,438.60x = 277,999.74 × 120,864.12
  4. Step 4: Simplify right side
    201,438.60x = 33,600,193,935.33
  5. Step 5: Solve for x
    x = 33,600,193,935.33/201,438.60
  6. Step 6: Final answer
    x = 166,801.17

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1.5x scale

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.