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Finding the Fourth Proportional to 205,099.61, 307,647.59 and 71,948.67

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Solution

The fourth proportional to 205,099.61, 307,647.59 and 71,948.67 is: 107,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,099.61 : 307,647.59 = 71,948.67 : x
  2. Step 2: Convert to fraction form
    205,099.61/307,647.59 = 71,948.67/x
  3. Step 3: Cross multiply
    205,099.61x = 307,647.59 × 71,948.67
  4. Step 4: Simplify right side
    205,099.61x = 22,134,834,929.21
  5. Step 5: Solve for x
    x = 22,134,834,929.21/205,099.61
  6. Step 6: Final answer
    x = 107,922.36

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1.5x scale

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.