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Finding the Fourth Proportional to 257,057.50, 385,479.81 and 97,106.15

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Solution

The fourth proportional to 257,057.50, 385,479.81 and 97,106.15 is: 145,619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,057.50 : 385,479.81 = 97,106.15 : x
  2. Step 2: Convert to fraction form
    257,057.50/385,479.81 = 97,106.15/x
  3. Step 3: Cross multiply
    257,057.50x = 385,479.81 × 97,106.15
  4. Step 4: Simplify right side
    257,057.50x = 37,432,458,324.43
  5. Step 5: Solve for x
    x = 37,432,458,324.43/257,057.50
  6. Step 6: Final answer
    x = 145,619.01

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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.