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Finding the Fourth Proportional to 49,897.78, 74,878.79 and 19,906.90

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Solution

The fourth proportional to 49,897.78, 74,878.79 and 19,906.90 is: 29,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,897.78 : 74,878.79 = 19,906.90 : x
  2. Step 2: Convert to fraction form
    49,897.78/74,878.79 = 19,906.90/x
  3. Step 3: Cross multiply
    49,897.78x = 74,878.79 × 19,906.90
  4. Step 4: Simplify right side
    49,897.78x = 1,490,604,210.26
  5. Step 5: Solve for x
    x = 1,490,604,210.26/49,897.78
  6. Step 6: Final answer
    x = 29,873.16

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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.