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Finding the Fourth Proportional to 228,012.98, 342,025.35 and 108,041.78

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Solution

The fourth proportional to 228,012.98, 342,025.35 and 108,041.78 is: 162,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,012.98 : 342,025.35 = 108,041.78 : x
  2. Step 2: Convert to fraction form
    228,012.98/342,025.35 = 108,041.78/x
  3. Step 3: Cross multiply
    228,012.98x = 342,025.35 × 108,041.78
  4. Step 4: Simplify right side
    228,012.98x = 36,953,027,619.12
  5. Step 5: Solve for x
    x = 36,953,027,619.12/228,012.98
  6. Step 6: Final answer
    x = 162,065.46

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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.