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Finding the Fourth Proportional to 340,066, 510,120.06 and 103,426.12

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Solution

The fourth proportional to 340,066, 510,120.06 and 103,426.12 is: 155,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,066 : 510,120.06 = 103,426.12 : x
  2. Step 2: Convert to fraction form
    340,066/510,120.06 = 103,426.12/x
  3. Step 3: Cross multiply
    340,066x = 510,120.06 × 103,426.12
  4. Step 4: Simplify right side
    340,066x = 52,759,738,539.97
  5. Step 5: Solve for x
    x = 52,759,738,539.97/340,066
  6. Step 6: Final answer
    x = 155,145.59

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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.