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Finding the Fourth Proportional to 208,066.10, 312,099.15 and 103,090.10

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Solution

The fourth proportional to 208,066.10, 312,099.15 and 103,090.10 is: 154,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,066.10 : 312,099.15 = 103,090.10 : x
  2. Step 2: Convert to fraction form
    208,066.10/312,099.15 = 103,090.10/x
  3. Step 3: Cross multiply
    208,066.10x = 312,099.15 × 103,090.10
  4. Step 4: Simplify right side
    208,066.10x = 32,174,332,583.42
  5. Step 5: Solve for x
    x = 32,174,332,583.42/208,066.10
  6. Step 6: Final answer
    x = 154,635.15

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1.5x scale

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.