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Finding the Fourth Proportional to 275,905, 413,857.50 and 78,913

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Solution

The fourth proportional to 275,905, 413,857.50 and 78,913 is: 118,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,905 : 413,857.50 = 78,913 : x
  2. Step 2: Convert to fraction form
    275,905/413,857.50 = 78,913/x
  3. Step 3: Cross multiply
    275,905x = 413,857.50 × 78,913
  4. Step 4: Simplify right side
    275,905x = 32,658,736,897.50
  5. Step 5: Solve for x
    x = 32,658,736,897.50/275,905
  6. Step 6: Final answer
    x = 118,369.50

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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.