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Finding the Fourth Proportional to 147,741, 221,735.48 and 76,707.24

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Solution

The fourth proportional to 147,741, 221,735.48 and 76,707.24 is: 115,125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,741 : 221,735.48 = 76,707.24 : x
  2. Step 2: Convert to fraction form
    147,741/221,735.48 = 76,707.24/x
  3. Step 3: Cross multiply
    147,741x = 221,735.48 × 76,707.24
  4. Step 4: Simplify right side
    147,741x = 17,008,716,680.88
  5. Step 5: Solve for x
    x = 17,008,716,680.88/147,741
  6. Step 6: Final answer
    x = 115,125.23

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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.