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Finding the Fourth Proportional to 61,900.71, 92,850 and 19,780.48

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Solution

The fourth proportional to 61,900.71, 92,850 and 19,780.48 is: 29,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,900.71 : 92,850 = 19,780.48 : x
  2. Step 2: Convert to fraction form
    61,900.71/92,850 = 19,780.48/x
  3. Step 3: Cross multiply
    61,900.71x = 92,850 × 19,780.48
  4. Step 4: Simplify right side
    61,900.71x = 1,836,617,568
  5. Step 5: Solve for x
    x = 1,836,617,568/61,900.71
  6. Step 6: Final answer
    x = 29,670.38

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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.