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Finding the Fourth Proportional to 209,858.65, 314,880.92 and 109,995.10

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Solution

The fourth proportional to 209,858.65, 314,880.92 and 109,995.10 is: 165,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,858.65 : 314,880.92 = 109,995.10 : x
  2. Step 2: Convert to fraction form
    209,858.65/314,880.92 = 109,995.10/x
  3. Step 3: Cross multiply
    209,858.65x = 314,880.92 × 109,995.10
  4. Step 4: Simplify right side
    209,858.65x = 34,635,357,358.80
  5. Step 5: Solve for x
    x = 34,635,357,358.80/209,858.65
  6. Step 6: Final answer
    x = 165,041.36

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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.