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Finding the Fourth Proportional to 158,830.73, 219,197.91 and 105,022.43

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Solution

The fourth proportional to 158,830.73, 219,197.91 and 105,022.43 is: 144,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,830.73 : 219,197.91 = 105,022.43 : x
  2. Step 2: Convert to fraction form
    158,830.73/219,197.91 = 105,022.43/x
  3. Step 3: Cross multiply
    158,830.73x = 219,197.91 × 105,022.43
  4. Step 4: Simplify right side
    158,830.73x = 23,020,696,063.13
  5. Step 5: Solve for x
    x = 23,020,696,063.13/158,830.73
  6. Step 6: Final answer
    x = 144,938.56

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