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Finding the Fourth Proportional to 211,990.70, 317,949.60 and 78,802.40

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Solution

The fourth proportional to 211,990.70, 317,949.60 and 78,802.40 is: 118,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,990.70 : 317,949.60 = 78,802.40 : x
  2. Step 2: Convert to fraction form
    211,990.70/317,949.60 = 78,802.40/x
  3. Step 3: Cross multiply
    211,990.70x = 317,949.60 × 78,802.40
  4. Step 4: Simplify right side
    211,990.70x = 25,055,191,559.04
  5. Step 5: Solve for x
    x = 25,055,191,559.04/211,990.70
  6. Step 6: Final answer
    x = 118,190.05

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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.