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Finding the Fourth Proportional to 208,208.70, 312,266.27 and 95,780.94

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Solution

The fourth proportional to 208,208.70, 312,266.27 and 95,780.94 is: 143,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,208.70 : 312,266.27 = 95,780.94 : x
  2. Step 2: Convert to fraction form
    208,208.70/312,266.27 = 95,780.94/x
  3. Step 3: Cross multiply
    208,208.70x = 312,266.27 × 95,780.94
  4. Step 4: Simplify right side
    208,208.70x = 29,909,156,870.89
  5. Step 5: Solve for x
    x = 29,909,156,870.89/208,208.70
  6. Step 6: Final answer
    x = 143,649.89

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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.