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Finding the Fourth Proportional to 201,515.60, 302,467.80 and 101,788.40

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Solution

The fourth proportional to 201,515.60, 302,467.80 and 101,788.40 is: 152,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,515.60 : 302,467.80 = 101,788.40 : x
  2. Step 2: Convert to fraction form
    201,515.60/302,467.80 = 101,788.40/x
  3. Step 3: Cross multiply
    201,515.60x = 302,467.80 × 101,788.40
  4. Step 4: Simplify right side
    201,515.60x = 30,787,713,413.52
  5. Step 5: Solve for x
    x = 30,787,713,413.52/201,515.60
  6. Step 6: Final answer
    x = 152,780.79

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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.