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Finding the Fourth Proportional to 229,065, 343,642.23 and 69,153.90

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Solution

The fourth proportional to 229,065, 343,642.23 and 69,153.90 is: 103,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,065 : 343,642.23 = 69,153.90 : x
  2. Step 2: Convert to fraction form
    229,065/343,642.23 = 69,153.90/x
  3. Step 3: Cross multiply
    229,065x = 343,642.23 × 69,153.90
  4. Step 4: Simplify right side
    229,065x = 23,764,200,409.20
  5. Step 5: Solve for x
    x = 23,764,200,409.20/229,065
  6. Step 6: Final answer
    x = 103,744.35

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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.