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Finding the Fourth Proportional to 71,358.10, 106,907.55 and 43,623.70

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Solution

The fourth proportional to 71,358.10, 106,907.55 and 43,623.70 is: 65,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,358.10 : 106,907.55 = 43,623.70 : x
  2. Step 2: Convert to fraction form
    71,358.10/106,907.55 = 43,623.70/x
  3. Step 3: Cross multiply
    71,358.10x = 106,907.55 × 43,623.70
  4. Step 4: Simplify right side
    71,358.10x = 4,663,702,888.94
  5. Step 5: Solve for x
    x = 4,663,702,888.94/71,358.10
  6. Step 6: Final answer
    x = 65,356.32

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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.