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Finding the Fourth Proportional to 209,148.48, 313,742.16 and 68,908.32

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Solution

The fourth proportional to 209,148.48, 313,742.16 and 68,908.32 is: 103,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,148.48 : 313,742.16 = 68,908.32 : x
  2. Step 2: Convert to fraction form
    209,148.48/313,742.16 = 68,908.32/x
  3. Step 3: Cross multiply
    209,148.48x = 313,742.16 × 68,908.32
  4. Step 4: Simplify right side
    209,148.48x = 21,619,445,158.77
  5. Step 5: Solve for x
    x = 21,619,445,158.77/209,148.48
  6. Step 6: Final answer
    x = 103,368.88

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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.