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Finding the Fourth Proportional to 209,303.64, 313,966.35 and 69,073.20

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Solution

The fourth proportional to 209,303.64, 313,966.35 and 69,073.20 is: 103,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,303.64 : 313,966.35 = 69,073.20 : x
  2. Step 2: Convert to fraction form
    209,303.64/313,966.35 = 69,073.20/x
  3. Step 3: Cross multiply
    209,303.64x = 313,966.35 × 69,073.20
  4. Step 4: Simplify right side
    209,303.64x = 21,686,660,486.82
  5. Step 5: Solve for x
    x = 21,686,660,486.82/209,303.64
  6. Step 6: Final answer
    x = 103,613.39

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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.