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Finding the Fourth Proportional to 208,048.40, 312,072.60 and 83,478.80

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Solution

The fourth proportional to 208,048.40, 312,072.60 and 83,478.80 is: 125,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,048.40 : 312,072.60 = 83,478.80 : x
  2. Step 2: Convert to fraction form
    208,048.40/312,072.60 = 83,478.80/x
  3. Step 3: Cross multiply
    208,048.40x = 312,072.60 × 83,478.80
  4. Step 4: Simplify right side
    208,048.40x = 26,051,446,160.88
  5. Step 5: Solve for x
    x = 26,051,446,160.88/208,048.40
  6. Step 6: Final answer
    x = 125,218.20

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1.5x scale

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.