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Finding the Fourth Proportional to 188,518, 260,155.38 and 103,635.67

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Solution

The fourth proportional to 188,518, 260,155.38 and 103,635.67 is: 143,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,518 : 260,155.38 = 103,635.67 : x
  2. Step 2: Convert to fraction form
    188,518/260,155.38 = 103,635.67/x
  3. Step 3: Cross multiply
    188,518x = 260,155.38 × 103,635.67
  4. Step 4: Simplify right side
    188,518x = 26,961,377,110.40
  5. Step 5: Solve for x
    x = 26,961,377,110.40/188,518
  6. Step 6: Final answer
    x = 143,017.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.