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Finding the Fourth Proportional to 205,307.74, 307,968.10 and 65,067.58

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Solution

The fourth proportional to 205,307.74, 307,968.10 and 65,067.58 is: 97,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,307.74 : 307,968.10 = 65,067.58 : x
  2. Step 2: Convert to fraction form
    205,307.74/307,968.10 = 65,067.58/x
  3. Step 3: Cross multiply
    205,307.74x = 307,968.10 × 65,067.58
  4. Step 4: Simplify right side
    205,307.74x = 20,038,738,984.20
  5. Step 5: Solve for x
    x = 20,038,738,984.20/205,307.74
  6. Step 6: Final answer
    x = 97,603.43

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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.