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Finding the Fourth Proportional to 208,830.80, 313,246.20 and 120,038.60

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Solution

The fourth proportional to 208,830.80, 313,246.20 and 120,038.60 is: 180,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,830.80 : 313,246.20 = 120,038.60 : x
  2. Step 2: Convert to fraction form
    208,830.80/313,246.20 = 120,038.60/x
  3. Step 3: Cross multiply
    208,830.80x = 313,246.20 × 120,038.60
  4. Step 4: Simplify right side
    208,830.80x = 37,601,635,303.32
  5. Step 5: Solve for x
    x = 37,601,635,303.32/208,830.80
  6. Step 6: Final answer
    x = 180,057.90

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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.