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Finding the Fourth Proportional to 209,695.96, 314,317.68 and 102,955.78

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Solution

The fourth proportional to 209,695.96, 314,317.68 and 102,955.78 is: 154,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,695.96 : 314,317.68 = 102,955.78 : x
  2. Step 2: Convert to fraction form
    209,695.96/314,317.68 = 102,955.78/x
  3. Step 3: Cross multiply
    209,695.96x = 314,317.68 × 102,955.78
  4. Step 4: Simplify right side
    209,695.96x = 32,360,821,912.19
  5. Step 5: Solve for x
    x = 32,360,821,912.19/209,695.96
  6. Step 6: Final answer
    x = 154,322.58

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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.