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Finding the Fourth Proportional to 207,730.80, 311,941.80 and 114,303.60

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Solution

The fourth proportional to 207,730.80, 311,941.80 and 114,303.60 is: 171,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,730.80 : 311,941.80 = 114,303.60 : x
  2. Step 2: Convert to fraction form
    207,730.80/311,941.80 = 114,303.60/x
  3. Step 3: Cross multiply
    207,730.80x = 311,941.80 × 114,303.60
  4. Step 4: Simplify right side
    207,730.80x = 35,656,070,730.48
  5. Step 5: Solve for x
    x = 35,656,070,730.48/207,730.80
  6. Step 6: Final answer
    x = 171,645.57

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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.