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Finding the Fourth Proportional to 201,142, 301,751.84 and 76,473.28

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Solution

The fourth proportional to 201,142, 301,751.84 and 76,473.28 is: 114,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,142 : 301,751.84 = 76,473.28 : x
  2. Step 2: Convert to fraction form
    201,142/301,751.84 = 76,473.28/x
  3. Step 3: Cross multiply
    201,142x = 301,751.84 × 76,473.28
  4. Step 4: Simplify right side
    201,142x = 23,075,952,950.84
  5. Step 5: Solve for x
    x = 23,075,952,950.84/201,142
  6. Step 6: Final answer
    x = 114,724.69

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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.