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Finding the Fourth Proportional to 78,023.60, 117,035.40 and 46,530.80

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Solution

The fourth proportional to 78,023.60, 117,035.40 and 46,530.80 is: 69,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,023.60 : 117,035.40 = 46,530.80 : x
  2. Step 2: Convert to fraction form
    78,023.60/117,035.40 = 46,530.80/x
  3. Step 3: Cross multiply
    78,023.60x = 117,035.40 × 46,530.80
  4. Step 4: Simplify right side
    78,023.60x = 5,445,750,790.32
  5. Step 5: Solve for x
    x = 5,445,750,790.32/78,023.60
  6. Step 6: Final answer
    x = 69,796.20

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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.