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Finding the Fourth Proportional to 207,208.81, 310,813.26 and 137,071.72

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Solution

The fourth proportional to 207,208.81, 310,813.26 and 137,071.72 is: 205,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,208.81 : 310,813.26 = 137,071.72 : x
  2. Step 2: Convert to fraction form
    207,208.81/310,813.26 = 137,071.72/x
  3. Step 3: Cross multiply
    207,208.81x = 310,813.26 × 137,071.72
  4. Step 4: Simplify right side
    207,208.81x = 42,603,708,147.01
  5. Step 5: Solve for x
    x = 42,603,708,147.01/207,208.81
  6. Step 6: Final answer
    x = 205,607.61

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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.