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Finding the Fourth Proportional to 139,784.44, 209,674.20 and 34,603.40

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Solution

The fourth proportional to 139,784.44, 209,674.20 and 34,603.40 is: 51,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,784.44 : 209,674.20 = 34,603.40 : x
  2. Step 2: Convert to fraction form
    139,784.44/209,674.20 = 34,603.40/x
  3. Step 3: Cross multiply
    139,784.44x = 209,674.20 × 34,603.40
  4. Step 4: Simplify right side
    139,784.44x = 7,255,440,212.28
  5. Step 5: Solve for x
    x = 7,255,440,212.28/139,784.44
  6. Step 6: Final answer
    x = 51,904.49

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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.