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Finding the Fourth Proportional to 208,488.66, 312,733 and 83,800.50

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Solution

The fourth proportional to 208,488.66, 312,733 and 83,800.50 is: 125,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,488.66 : 312,733 = 83,800.50 : x
  2. Step 2: Convert to fraction form
    208,488.66/312,733 = 83,800.50/x
  3. Step 3: Cross multiply
    208,488.66x = 312,733 × 83,800.50
  4. Step 4: Simplify right side
    208,488.66x = 26,207,181,766.50
  5. Step 5: Solve for x
    x = 26,207,181,766.50/208,488.66
  6. Step 6: Final answer
    x = 125,700.75

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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.