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Finding the Fourth Proportional to 78,419.70, 117,629.55 and 19,254.60

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Solution

The fourth proportional to 78,419.70, 117,629.55 and 19,254.60 is: 28,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,419.70 : 117,629.55 = 19,254.60 : x
  2. Step 2: Convert to fraction form
    78,419.70/117,629.55 = 19,254.60/x
  3. Step 3: Cross multiply
    78,419.70x = 117,629.55 × 19,254.60
  4. Step 4: Simplify right side
    78,419.70x = 2,264,909,933.43
  5. Step 5: Solve for x
    x = 2,264,909,933.43/78,419.70
  6. Step 6: Final answer
    x = 28,881.90

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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.