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Finding the Fourth Proportional to 201,437.80, 277,962.36 and 116,539

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Solution

The fourth proportional to 201,437.80, 277,962.36 and 116,539 is: 160,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,437.80 : 277,962.36 = 116,539 : x
  2. Step 2: Convert to fraction form
    201,437.80/277,962.36 = 116,539/x
  3. Step 3: Cross multiply
    201,437.80x = 277,962.36 × 116,539
  4. Step 4: Simplify right side
    201,437.80x = 32,393,455,472.04
  5. Step 5: Solve for x
    x = 32,393,455,472.04/201,437.80
  6. Step 6: Final answer
    x = 160,811.21

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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.