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Finding the Fourth Proportional to 99,903.51, 149,929.20 and 47,313.12

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Solution

The fourth proportional to 99,903.51, 149,929.20 and 47,313.12 is: 71,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,903.51 : 149,929.20 = 47,313.12 : x
  2. Step 2: Convert to fraction form
    99,903.51/149,929.20 = 47,313.12/x
  3. Step 3: Cross multiply
    99,903.51x = 149,929.20 × 47,313.12
  4. Step 4: Simplify right side
    99,903.51x = 7,093,618,231.10
  5. Step 5: Solve for x
    x = 7,093,618,231.10/99,903.51
  6. Step 6: Final answer
    x = 71,004.69

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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.