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Finding the Fourth Proportional to 209,978.19, 314,744.48 and 103,211.58

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Solution

The fourth proportional to 209,978.19, 314,744.48 and 103,211.58 is: 154,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,978.19 : 314,744.48 = 103,211.58 : x
  2. Step 2: Convert to fraction form
    209,978.19/314,744.48 = 103,211.58/x
  3. Step 3: Cross multiply
    209,978.19x = 314,744.48 × 103,211.58
  4. Step 4: Simplify right side
    209,978.19x = 32,485,274,561.02
  5. Step 5: Solve for x
    x = 32,485,274,561.02/209,978.19
  6. Step 6: Final answer
    x = 154,707.85

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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.