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Finding the Fourth Proportional to 209,858.81, 314,881.16 and 109,995.26

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Solution

The fourth proportional to 209,858.81, 314,881.16 and 109,995.26 is: 165,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,858.81 : 314,881.16 = 109,995.26 : x
  2. Step 2: Convert to fraction form
    209,858.81/314,881.16 = 109,995.26/x
  3. Step 3: Cross multiply
    209,858.81x = 314,881.16 × 109,995.26
  4. Step 4: Simplify right side
    209,858.81x = 34,635,432,938.92
  5. Step 5: Solve for x
    x = 34,635,432,938.92/209,858.81
  6. Step 6: Final answer
    x = 165,041.60

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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.