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Finding the Fourth Proportional to 207,368.34, 311,106.83 and 65,207.88

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Solution

The fourth proportional to 207,368.34, 311,106.83 and 65,207.88 is: 97,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,368.34 : 311,106.83 = 65,207.88 : x
  2. Step 2: Convert to fraction form
    207,368.34/311,106.83 = 65,207.88/x
  3. Step 3: Cross multiply
    207,368.34x = 311,106.83 × 65,207.88
  4. Step 4: Simplify right side
    207,368.34x = 20,286,616,837.82
  5. Step 5: Solve for x
    x = 20,286,616,837.82/207,368.34
  6. Step 6: Final answer
    x = 97,828.90

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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.