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Finding the Fourth Proportional to 78,282, 117,444.60 and 22,878

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Solution

The fourth proportional to 78,282, 117,444.60 and 22,878 is: 34,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,282 : 117,444.60 = 22,878 : x
  2. Step 2: Convert to fraction form
    78,282/117,444.60 = 22,878/x
  3. Step 3: Cross multiply
    78,282x = 117,444.60 × 22,878
  4. Step 4: Simplify right side
    78,282x = 2,686,897,558.80
  5. Step 5: Solve for x
    x = 2,686,897,558.80/78,282
  6. Step 6: Final answer
    x = 34,323.31

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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.