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Finding the Fourth Proportional to 199,364.60, 298,810.10 and 105,822.20

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Solution

The fourth proportional to 199,364.60, 298,810.10 and 105,822.20 is: 158,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,364.60 : 298,810.10 = 105,822.20 : x
  2. Step 2: Convert to fraction form
    199,364.60/298,810.10 = 105,822.20/x
  3. Step 3: Cross multiply
    199,364.60x = 298,810.10 × 105,822.20
  4. Step 4: Simplify right side
    199,364.60x = 31,620,742,164.22
  5. Step 5: Solve for x
    x = 31,620,742,164.22/199,364.60
  6. Step 6: Final answer
    x = 158,607.61

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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.