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Finding the Fourth Proportional to 188,658, 282,903.98 and 99,890.78

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Solution

The fourth proportional to 188,658, 282,903.98 and 99,890.78 is: 149,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,658 : 282,903.98 = 99,890.78 : x
  2. Step 2: Convert to fraction form
    188,658/282,903.98 = 99,890.78/x
  3. Step 3: Cross multiply
    188,658x = 282,903.98 × 99,890.78
  4. Step 4: Simplify right side
    188,658x = 28,259,497,313.33
  5. Step 5: Solve for x
    x = 28,259,497,313.33/188,658
  6. Step 6: Final answer
    x = 149,792.20

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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.