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Finding the Fourth Proportional to 61,881.12, 92,830.32 and 30,708

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Solution

The fourth proportional to 61,881.12, 92,830.32 and 30,708 is: 46,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,881.12 : 92,830.32 = 30,708 : x
  2. Step 2: Convert to fraction form
    61,881.12/92,830.32 = 30,708/x
  3. Step 3: Cross multiply
    61,881.12x = 92,830.32 × 30,708
  4. Step 4: Simplify right side
    61,881.12x = 2,850,633,466.56
  5. Step 5: Solve for x
    x = 2,850,633,466.56/61,881.12
  6. Step 6: Final answer
    x = 46,066.29

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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.