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Finding the Fourth Proportional to 77,967, 117,002.34 and 28,719

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Solution

The fourth proportional to 77,967, 117,002.34 and 28,719 is: 43,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,967 : 117,002.34 = 28,719 : x
  2. Step 2: Convert to fraction form
    77,967/117,002.34 = 28,719/x
  3. Step 3: Cross multiply
    77,967x = 117,002.34 × 28,719
  4. Step 4: Simplify right side
    77,967x = 3,360,190,202.46
  5. Step 5: Solve for x
    x = 3,360,190,202.46/77,967
  6. Step 6: Final answer
    x = 43,097.60

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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.