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Finding the Fourth Proportional to 201,097.47, 301,685.10 and 76,428.75

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Solution

The fourth proportional to 201,097.47, 301,685.10 and 76,428.75 is: 114,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,097.47 : 301,685.10 = 76,428.75 : x
  2. Step 2: Convert to fraction form
    201,097.47/301,685.10 = 76,428.75/x
  3. Step 3: Cross multiply
    201,097.47x = 301,685.10 × 76,428.75
  4. Step 4: Simplify right side
    201,097.47x = 23,057,415,086.63
  5. Step 5: Solve for x
    x = 23,057,415,086.63/201,097.47
  6. Step 6: Final answer
    x = 114,657.91

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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.