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Finding the Fourth Proportional to 209,614.40, 314,421.60 and 125,633.60

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Solution

The fourth proportional to 209,614.40, 314,421.60 and 125,633.60 is: 188,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,614.40 : 314,421.60 = 125,633.60 : x
  2. Step 2: Convert to fraction form
    209,614.40/314,421.60 = 125,633.60/x
  3. Step 3: Cross multiply
    209,614.40x = 314,421.60 × 125,633.60
  4. Step 4: Simplify right side
    209,614.40x = 39,501,917,525.76
  5. Step 5: Solve for x
    x = 39,501,917,525.76/209,614.40
  6. Step 6: Final answer
    x = 188,450.40

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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.