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Finding the Fourth Proportional to 201,763.50, 278,509.77 and 158,630.46

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Solution

The fourth proportional to 201,763.50, 278,509.77 and 158,630.46 is: 218,969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,763.50 : 278,509.77 = 158,630.46 : x
  2. Step 2: Convert to fraction form
    201,763.50/278,509.77 = 158,630.46/x
  3. Step 3: Cross multiply
    201,763.50x = 278,509.77 × 158,630.46
  4. Step 4: Simplify right side
    201,763.50x = 44,180,132,929.59
  5. Step 5: Solve for x
    x = 44,180,132,929.59/201,763.50
  6. Step 6: Final answer
    x = 218,969.90

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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.