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Finding the Fourth Proportional to 328,069.10, 492,103.62 and 78,751.10

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Solution

The fourth proportional to 328,069.10, 492,103.62 and 78,751.10 is: 118,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,069.10 : 492,103.62 = 78,751.10 : x
  2. Step 2: Convert to fraction form
    328,069.10/492,103.62 = 78,751.10/x
  3. Step 3: Cross multiply
    328,069.10x = 492,103.62 × 78,751.10
  4. Step 4: Simplify right side
    328,069.10x = 38,753,702,619.24
  5. Step 5: Solve for x
    x = 38,753,702,619.24/328,069.10
  6. Step 6: Final answer
    x = 118,126.65

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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.