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Finding the Fourth Proportional to 188,866.19, 260,869.39 and 137,100.67

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Solution

The fourth proportional to 188,866.19, 260,869.39 and 137,100.67 is: 189,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,866.19 : 260,869.39 = 137,100.67 : x
  2. Step 2: Convert to fraction form
    188,866.19/260,869.39 = 137,100.67/x
  3. Step 3: Cross multiply
    188,866.19x = 260,869.39 × 137,100.67
  4. Step 4: Simplify right side
    188,866.19x = 35,765,368,151.49
  5. Step 5: Solve for x
    x = 35,765,368,151.49/188,866.19
  6. Step 6: Final answer
    x = 189,368.82

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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.