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Finding the Fourth Proportional to 201,186.80, 301,780.14 and 51,427.40

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Solution

The fourth proportional to 201,186.80, 301,780.14 and 51,427.40 is: 77,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,186.80 : 301,780.14 = 51,427.40 : x
  2. Step 2: Convert to fraction form
    201,186.80/301,780.14 = 51,427.40/x
  3. Step 3: Cross multiply
    201,186.80x = 301,780.14 × 51,427.40
  4. Step 4: Simplify right side
    201,186.80x = 15,519,767,971.84
  5. Step 5: Solve for x
    x = 15,519,767,971.84/201,186.80
  6. Step 6: Final answer
    x = 77,141.08

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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.