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Finding the Fourth Proportional to 148,878, 205,546.68 and 103,539.60

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Solution

The fourth proportional to 148,878, 205,546.68 and 103,539.60 is: 142,950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,878 : 205,546.68 = 103,539.60 : x
  2. Step 2: Convert to fraction form
    148,878/205,546.68 = 103,539.60/x
  3. Step 3: Cross multiply
    148,878x = 205,546.68 × 103,539.60
  4. Step 4: Simplify right side
    148,878x = 21,282,221,028.53
  5. Step 5: Solve for x
    x = 21,282,221,028.53/148,878
  6. Step 6: Final answer
    x = 142,950.75

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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.