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Finding the Fourth Proportional to 78,627.60, 117,811.80 and 65,408.40

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Solution

The fourth proportional to 78,627.60, 117,811.80 and 65,408.40 is: 98,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,627.60 : 117,811.80 = 65,408.40 : x
  2. Step 2: Convert to fraction form
    78,627.60/117,811.80 = 65,408.40/x
  3. Step 3: Cross multiply
    78,627.60x = 117,811.80 × 65,408.40
  4. Step 4: Simplify right side
    78,627.60x = 7,705,881,339.12
  5. Step 5: Solve for x
    x = 7,705,881,339.12/78,627.60
  6. Step 6: Final answer
    x = 98,004.79

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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.