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Finding the Fourth Proportional to 207,435.23, 311,200.95 and 65,276.79

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Solution

The fourth proportional to 207,435.23, 311,200.95 and 65,276.79 is: 97,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,435.23 : 311,200.95 = 65,276.79 : x
  2. Step 2: Convert to fraction form
    207,435.23/311,200.95 = 65,276.79/x
  3. Step 3: Cross multiply
    207,435.23x = 311,200.95 × 65,276.79
  4. Step 4: Simplify right side
    207,435.23x = 20,314,199,060.95
  5. Step 5: Solve for x
    x = 20,314,199,060.95/207,435.23
  6. Step 6: Final answer
    x = 97,930.32

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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.