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Finding the Fourth Proportional to 139,783.85, 209,675.78 and 34,602.82

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Solution

The fourth proportional to 139,783.85, 209,675.78 and 34,602.82 is: 51,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,783.85 : 209,675.78 = 34,602.82 : x
  2. Step 2: Convert to fraction form
    139,783.85/209,675.78 = 34,602.82/x
  3. Step 3: Cross multiply
    139,783.85x = 209,675.78 × 34,602.82
  4. Step 4: Simplify right side
    139,783.85x = 7,255,373,247.31
  5. Step 5: Solve for x
    x = 7,255,373,247.31/139,783.85
  6. Step 6: Final answer
    x = 51,904.23

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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.