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Finding the Fourth Proportional to 207,276.70, 311,097.30 and 122,931.40

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Solution

The fourth proportional to 207,276.70, 311,097.30 and 122,931.40 is: 184,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,276.70 : 311,097.30 = 122,931.40 : x
  2. Step 2: Convert to fraction form
    207,276.70/311,097.30 = 122,931.40/x
  3. Step 3: Cross multiply
    207,276.70x = 311,097.30 × 122,931.40
  4. Step 4: Simplify right side
    207,276.70x = 38,243,626,625.22
  5. Step 5: Solve for x
    x = 38,243,626,625.22/207,276.70
  6. Step 6: Final answer
    x = 184,505.19

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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.