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Finding the Fourth Proportional to 78,419.60, 117,628.40 and 19,255.52

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Solution

The fourth proportional to 78,419.60, 117,628.40 and 19,255.52 is: 28,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,419.60 : 117,628.40 = 19,255.52 : x
  2. Step 2: Convert to fraction form
    78,419.60/117,628.40 = 19,255.52/x
  3. Step 3: Cross multiply
    78,419.60x = 117,628.40 × 19,255.52
  4. Step 4: Simplify right side
    78,419.60x = 2,264,996,008.77
  5. Step 5: Solve for x
    x = 2,264,996,008.77/78,419.60
  6. Step 6: Final answer
    x = 28,883.03

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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.