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Finding the Fourth Proportional to 65,078.40, 97,401.60 and 47,258.40

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Solution

The fourth proportional to 65,078.40, 97,401.60 and 47,258.40 is: 70,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,078.40 : 97,401.60 = 47,258.40 : x
  2. Step 2: Convert to fraction form
    65,078.40/97,401.60 = 47,258.40/x
  3. Step 3: Cross multiply
    65,078.40x = 97,401.60 × 47,258.40
  4. Step 4: Simplify right side
    65,078.40x = 4,603,043,773.44
  5. Step 5: Solve for x
    x = 4,603,043,773.44/65,078.40
  6. Step 6: Final answer
    x = 70,730.75

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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.