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Finding the Fourth Proportional to 209,870.64, 289,607.40 and 119,245.68

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Solution

The fourth proportional to 209,870.64, 289,607.40 and 119,245.68 is: 164,551.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,870.64 : 289,607.40 = 119,245.68 : x
  2. Step 2: Convert to fraction form
    209,870.64/289,607.40 = 119,245.68/x
  3. Step 3: Cross multiply
    209,870.64x = 289,607.40 × 119,245.68
  4. Step 4: Simplify right side
    209,870.64x = 34,534,431,346.03
  5. Step 5: Solve for x
    x = 34,534,431,346.03/209,870.64
  6. Step 6: Final answer
    x = 164,551.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.