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Finding the Fourth Proportional to 196,145.16, 294,188.58 and 71,457

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Solution

The fourth proportional to 196,145.16, 294,188.58 and 71,457 is: 107,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,145.16 : 294,188.58 = 71,457 : x
  2. Step 2: Convert to fraction form
    196,145.16/294,188.58 = 71,457/x
  3. Step 3: Cross multiply
    196,145.16x = 294,188.58 × 71,457
  4. Step 4: Simplify right side
    196,145.16x = 21,021,833,361.06
  5. Step 5: Solve for x
    x = 21,021,833,361.06/196,145.16
  6. Step 6: Final answer
    x = 107,174.88

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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.