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Finding the Fourth Proportional to 78,117.84, 117,175.64 and 18,954

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Solution

The fourth proportional to 78,117.84, 117,175.64 and 18,954 is: 28,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117.84 : 117,175.64 = 18,954 : x
  2. Step 2: Convert to fraction form
    78,117.84/117,175.64 = 18,954/x
  3. Step 3: Cross multiply
    78,117.84x = 117,175.64 × 18,954
  4. Step 4: Simplify right side
    78,117.84x = 2,220,947,080.56
  5. Step 5: Solve for x
    x = 2,220,947,080.56/78,117.84
  6. Step 6: Final answer
    x = 28,430.73

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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.