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Finding the Fourth Proportional to 201,731.60, 302,597.40 and 91,139.60

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Solution

The fourth proportional to 201,731.60, 302,597.40 and 91,139.60 is: 136,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,731.60 : 302,597.40 = 91,139.60 : x
  2. Step 2: Convert to fraction form
    201,731.60/302,597.40 = 91,139.60/x
  3. Step 3: Cross multiply
    201,731.60x = 302,597.40 × 91,139.60
  4. Step 4: Simplify right side
    201,731.60x = 27,578,605,997.04
  5. Step 5: Solve for x
    x = 27,578,605,997.04/201,731.60
  6. Step 6: Final answer
    x = 136,709.40

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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.