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Finding the Fourth Proportional to 201,208.80, 301,813.14 and 51,449.40

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Solution

The fourth proportional to 201,208.80, 301,813.14 and 51,449.40 is: 77,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,208.80 : 301,813.14 = 51,449.40 : x
  2. Step 2: Convert to fraction form
    201,208.80/301,813.14 = 51,449.40/x
  3. Step 3: Cross multiply
    201,208.80x = 301,813.14 × 51,449.40
  4. Step 4: Simplify right side
    201,208.80x = 15,528,104,965.12
  5. Step 5: Solve for x
    x = 15,528,104,965.12/201,208.80
  6. Step 6: Final answer
    x = 77,174.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.