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Finding the Fourth Proportional to 139,784.85, 209,677.28 and 34,603.82

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Solution

The fourth proportional to 139,784.85, 209,677.28 and 34,603.82 is: 51,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,784.85 : 209,677.28 = 34,603.82 : x
  2. Step 2: Convert to fraction form
    139,784.85/209,677.28 = 34,603.82/x
  3. Step 3: Cross multiply
    139,784.85x = 209,677.28 × 34,603.82
  4. Step 4: Simplify right side
    139,784.85x = 7,255,634,855.21
  5. Step 5: Solve for x
    x = 7,255,634,855.21/139,784.85
  6. Step 6: Final answer
    x = 51,905.73

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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.