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Finding the Fourth Proportional to 148,830.40, 223,322.15 and 82,258.12

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Solution

The fourth proportional to 148,830.40, 223,322.15 and 82,258.12 is: 123,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,830.40 : 223,322.15 = 82,258.12 : x
  2. Step 2: Convert to fraction form
    148,830.40/223,322.15 = 82,258.12/x
  3. Step 3: Cross multiply
    148,830.40x = 223,322.15 × 82,258.12
  4. Step 4: Simplify right side
    148,830.40x = 18,370,060,213.36
  5. Step 5: Solve for x
    x = 18,370,060,213.36/148,830.40
  6. Step 6: Final answer
    x = 123,429.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.