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Finding the Fourth Proportional to 201,762, 278,431.56 and 112,359.12

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Solution

The fourth proportional to 201,762, 278,431.56 and 112,359.12 is: 155,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,762 : 278,431.56 = 112,359.12 : x
  2. Step 2: Convert to fraction form
    201,762/278,431.56 = 112,359.12/x
  3. Step 3: Cross multiply
    201,762x = 278,431.56 × 112,359.12
  4. Step 4: Simplify right side
    201,762x = 31,284,325,061.83
  5. Step 5: Solve for x
    x = 31,284,325,061.83/201,762
  6. Step 6: Final answer
    x = 155,055.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.