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Finding the Fourth Proportional to 75,851, 113,776.50 and 20,447

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Solution

The fourth proportional to 75,851, 113,776.50 and 20,447 is: 30,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,851 : 113,776.50 = 20,447 : x
  2. Step 2: Convert to fraction form
    75,851/113,776.50 = 20,447/x
  3. Step 3: Cross multiply
    75,851x = 113,776.50 × 20,447
  4. Step 4: Simplify right side
    75,851x = 2,326,388,095.50
  5. Step 5: Solve for x
    x = 2,326,388,095.50/75,851
  6. Step 6: Final answer
    x = 30,670.50

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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.