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Finding the Fourth Proportional to 201,285.60, 277,784.82 and 120,716.52

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Solution

The fourth proportional to 201,285.60, 277,784.82 and 120,716.52 is: 166,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,285.60 : 277,784.82 = 120,716.52 : x
  2. Step 2: Convert to fraction form
    201,285.60/277,784.82 = 120,716.52/x
  3. Step 3: Cross multiply
    201,285.60x = 277,784.82 × 120,716.52
  4. Step 4: Simplify right side
    201,285.60x = 33,533,216,779.23
  5. Step 5: Solve for x
    x = 33,533,216,779.23/201,285.60
  6. Step 6: Final answer
    x = 166,595.21

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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.