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Finding the Fourth Proportional to 78,380.78, 117,573.40 and 19,216.40

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Solution

The fourth proportional to 78,380.78, 117,573.40 and 19,216.40 is: 28,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,380.78 : 117,573.40 = 19,216.40 : x
  2. Step 2: Convert to fraction form
    78,380.78/117,573.40 = 19,216.40/x
  3. Step 3: Cross multiply
    78,380.78x = 117,573.40 × 19,216.40
  4. Step 4: Simplify right side
    78,380.78x = 2,259,337,483.76
  5. Step 5: Solve for x
    x = 2,259,337,483.76/78,380.78
  6. Step 6: Final answer
    x = 28,825.15

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1.5x scale

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.