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Finding the Fourth Proportional to 61,308, 84,605.20 and 34,812

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Solution

The fourth proportional to 61,308, 84,605.20 and 34,812 is: 48,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,308 : 84,605.20 = 34,812 : x
  2. Step 2: Convert to fraction form
    61,308/84,605.20 = 34,812/x
  3. Step 3: Cross multiply
    61,308x = 84,605.20 × 34,812
  4. Step 4: Simplify right side
    61,308x = 2,945,276,222.40
  5. Step 5: Solve for x
    x = 2,945,276,222.40/61,308
  6. Step 6: Final answer
    x = 48,040.65

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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.