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Finding the Fourth Proportional to 61,431, 92,161.62 and 19,878

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Solution

The fourth proportional to 61,431, 92,161.62 and 19,878 is: 29,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,431 : 92,161.62 = 19,878 : x
  2. Step 2: Convert to fraction form
    61,431/92,161.62 = 19,878/x
  3. Step 3: Cross multiply
    61,431x = 92,161.62 × 19,878
  4. Step 4: Simplify right side
    61,431x = 1,831,988,682.36
  5. Step 5: Solve for x
    x = 1,831,988,682.36/61,431
  6. Step 6: Final answer
    x = 29,821.89

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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.