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Finding the Fourth Proportional to 201,338.78, 302,009.98 and 61,097.40

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Solution

The fourth proportional to 201,338.78, 302,009.98 and 61,097.40 is: 91,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,338.78 : 302,009.98 = 61,097.40 : x
  2. Step 2: Convert to fraction form
    201,338.78/302,009.98 = 61,097.40/x
  3. Step 3: Cross multiply
    201,338.78x = 302,009.98 × 61,097.40
  4. Step 4: Simplify right side
    201,338.78x = 18,452,024,399.31
  5. Step 5: Solve for x
    x = 18,452,024,399.31/201,338.78
  6. Step 6: Final answer
    x = 91,646.65

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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.