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Finding the Fourth Proportional to 196,075, 294,156.24 and 71,416

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Solution

The fourth proportional to 196,075, 294,156.24 and 71,416 is: 107,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,075 : 294,156.24 = 71,416 : x
  2. Step 2: Convert to fraction form
    196,075/294,156.24 = 71,416/x
  3. Step 3: Cross multiply
    196,075x = 294,156.24 × 71,416
  4. Step 4: Simplify right side
    196,075x = 21,007,462,035.84
  5. Step 5: Solve for x
    x = 21,007,462,035.84/196,075
  6. Step 6: Final answer
    x = 107,139.93

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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.