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Finding the Fourth Proportional to 201,458.58, 278,019.45 and 110,821.50

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Solution

The fourth proportional to 201,458.58, 278,019.45 and 110,821.50 is: 152,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,458.58 : 278,019.45 = 110,821.50 : x
  2. Step 2: Convert to fraction form
    201,458.58/278,019.45 = 110,821.50/x
  3. Step 3: Cross multiply
    201,458.58x = 278,019.45 × 110,821.50
  4. Step 4: Simplify right side
    201,458.58x = 30,810,533,520.75
  5. Step 5: Solve for x
    x = 30,810,533,520.75/201,458.58
  6. Step 6: Final answer
    x = 152,937.31

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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.