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Finding the Fourth Proportional to 217,075.40, 325,613.10 and 117,542.60

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Solution

The fourth proportional to 217,075.40, 325,613.10 and 117,542.60 is: 176,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,075.40 : 325,613.10 = 117,542.60 : x
  2. Step 2: Convert to fraction form
    217,075.40/325,613.10 = 117,542.60/x
  3. Step 3: Cross multiply
    217,075.40x = 325,613.10 × 117,542.60
  4. Step 4: Simplify right side
    217,075.40x = 38,273,410,368.06
  5. Step 5: Solve for x
    x = 38,273,410,368.06/217,075.40
  6. Step 6: Final answer
    x = 176,313.90

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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.