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Finding the Fourth Proportional to 207,398.45, 311,097.88 and 57,638.77

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Solution

The fourth proportional to 207,398.45, 311,097.88 and 57,638.77 is: 86,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,398.45 : 311,097.88 = 57,638.77 : x
  2. Step 2: Convert to fraction form
    207,398.45/311,097.88 = 57,638.77/x
  3. Step 3: Cross multiply
    207,398.45x = 311,097.88 × 57,638.77
  4. Step 4: Simplify right side
    207,398.45x = 17,931,299,152.81
  5. Step 5: Solve for x
    x = 17,931,299,152.81/207,398.45
  6. Step 6: Final answer
    x = 86,458.21

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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.