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Finding the Fourth Proportional to 279,974.93, 420,136.56 and 113,762.93

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Solution

The fourth proportional to 279,974.93, 420,136.56 and 113,762.93 is: 170,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,974.93 : 420,136.56 = 113,762.93 : x
  2. Step 2: Convert to fraction form
    279,974.93/420,136.56 = 113,762.93/x
  3. Step 3: Cross multiply
    279,974.93x = 420,136.56 × 113,762.93
  4. Step 4: Simplify right side
    279,974.93x = 47,795,966,065.72
  5. Step 5: Solve for x
    x = 47,795,966,065.72/279,974.93
  6. Step 6: Final answer
    x = 170,715.16

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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.