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Finding the Fourth Proportional to 208,129.98, 312,003.60 and 74,977.68

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Solution

The fourth proportional to 208,129.98, 312,003.60 and 74,977.68 is: 112,397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,129.98 : 312,003.60 = 74,977.68 : x
  2. Step 2: Convert to fraction form
    208,129.98/312,003.60 = 74,977.68/x
  3. Step 3: Cross multiply
    208,129.98x = 312,003.60 × 74,977.68
  4. Step 4: Simplify right side
    208,129.98x = 23,393,306,079.65
  5. Step 5: Solve for x
    x = 23,393,306,079.65/208,129.98
  6. Step 6: Final answer
    x = 112,397.58

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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.