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Finding the Fourth Proportional to 61,393.50, 92,070 and 19,830.78

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Solution

The fourth proportional to 61,393.50, 92,070 and 19,830.78 is: 29,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,393.50 : 92,070 = 19,830.78 : x
  2. Step 2: Convert to fraction form
    61,393.50/92,070 = 19,830.78/x
  3. Step 3: Cross multiply
    61,393.50x = 92,070 × 19,830.78
  4. Step 4: Simplify right side
    61,393.50x = 1,825,819,914.60
  5. Step 5: Solve for x
    x = 1,825,819,914.60/61,393.50
  6. Step 6: Final answer
    x = 29,739.63

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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.