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Finding the Fourth Proportional to 99,907.54, 149,935.20 and 47,317.12

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Solution

The fourth proportional to 99,907.54, 149,935.20 and 47,317.12 is: 71,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,907.54 : 149,935.20 = 47,317.12 : x
  2. Step 2: Convert to fraction form
    99,907.54/149,935.20 = 47,317.12/x
  3. Step 3: Cross multiply
    99,907.54x = 149,935.20 × 47,317.12
  4. Step 4: Simplify right side
    99,907.54x = 7,094,501,850.62
  5. Step 5: Solve for x
    x = 7,094,501,850.62/99,907.54
  6. Step 6: Final answer
    x = 71,010.67

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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.