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Finding the Fourth Proportional to 125,870.40, 188,805.60 and 102,830.40

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Solution

The fourth proportional to 125,870.40, 188,805.60 and 102,830.40 is: 154,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,870.40 : 188,805.60 = 102,830.40 : x
  2. Step 2: Convert to fraction form
    125,870.40/188,805.60 = 102,830.40/x
  3. Step 3: Cross multiply
    125,870.40x = 188,805.60 × 102,830.40
  4. Step 4: Simplify right side
    125,870.40x = 19,414,955,370.24
  5. Step 5: Solve for x
    x = 19,414,955,370.24/125,870.40
  6. Step 6: Final answer
    x = 154,245.60

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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.