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Finding the Fourth Proportional to 133,071.60, 199,664.10 and 69,940.20

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Solution

The fourth proportional to 133,071.60, 199,664.10 and 69,940.20 is: 104,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071.60 : 199,664.10 = 69,940.20 : x
  2. Step 2: Convert to fraction form
    133,071.60/199,664.10 = 69,940.20/x
  3. Step 3: Cross multiply
    133,071.60x = 199,664.10 × 69,940.20
  4. Step 4: Simplify right side
    133,071.60x = 13,964,547,086.82
  5. Step 5: Solve for x
    x = 13,964,547,086.82/133,071.60
  6. Step 6: Final answer
    x = 104,940.10

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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.