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Finding the Fourth Proportional to 61,116, 84,340.20 and 34,620

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Solution

The fourth proportional to 61,116, 84,340.20 and 34,620 is: 47,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,116 : 84,340.20 = 34,620 : x
  2. Step 2: Convert to fraction form
    61,116/84,340.20 = 34,620/x
  3. Step 3: Cross multiply
    61,116x = 84,340.20 × 34,620
  4. Step 4: Simplify right side
    61,116x = 2,919,857,724
  5. Step 5: Solve for x
    x = 2,919,857,724/61,116
  6. Step 6: Final answer
    x = 47,775.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.