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Finding the Fourth Proportional to 209,320.40, 313,980.60 and 69,071.60

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Solution

The fourth proportional to 209,320.40, 313,980.60 and 69,071.60 is: 103,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,320.40 : 313,980.60 = 69,071.60 : x
  2. Step 2: Convert to fraction form
    209,320.40/313,980.60 = 69,071.60/x
  3. Step 3: Cross multiply
    209,320.40x = 313,980.60 × 69,071.60
  4. Step 4: Simplify right side
    209,320.40x = 21,687,142,410.96
  5. Step 5: Solve for x
    x = 21,687,142,410.96/209,320.40
  6. Step 6: Final answer
    x = 103,607.40

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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.