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Finding the Fourth Proportional to 208,086.40, 312,055.74 and 74,930.91

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Solution

The fourth proportional to 208,086.40, 312,055.74 and 74,930.91 is: 112,369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,086.40 : 312,055.74 = 74,930.91 : x
  2. Step 2: Convert to fraction form
    208,086.40/312,055.74 = 74,930.91/x
  3. Step 3: Cross multiply
    208,086.40x = 312,055.74 × 74,930.91
  4. Step 4: Simplify right side
    208,086.40x = 23,382,619,398.71
  5. Step 5: Solve for x
    x = 23,382,619,398.71/208,086.40
  6. Step 6: Final answer
    x = 112,369.76

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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.