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Finding the Fourth Proportional to 82,197.78, 113,329.67 and 67,075.08

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Solution

The fourth proportional to 82,197.78, 113,329.67 and 67,075.08 is: 92,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,197.78 : 113,329.67 = 67,075.08 : x
  2. Step 2: Convert to fraction form
    82,197.78/113,329.67 = 67,075.08/x
  3. Step 3: Cross multiply
    82,197.78x = 113,329.67 × 67,075.08
  4. Step 4: Simplify right side
    82,197.78x = 7,601,596,346.25
  5. Step 5: Solve for x
    x = 7,601,596,346.25/82,197.78
  6. Step 6: Final answer
    x = 92,479.34

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1.5x scale

Why These Related Problems?

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