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Finding the Fourth Proportional to 139,440.78, 209,193.96 and 45,946.50

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Solution

The fourth proportional to 139,440.78, 209,193.96 and 45,946.50 is: 68,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,440.78 : 209,193.96 = 45,946.50 : x
  2. Step 2: Convert to fraction form
    139,440.78/209,193.96 = 45,946.50/x
  3. Step 3: Cross multiply
    139,440.78x = 209,193.96 × 45,946.50
  4. Step 4: Simplify right side
    139,440.78x = 9,611,730,283.14
  5. Step 5: Solve for x
    x = 9,611,730,283.14/139,440.78
  6. Step 6: Final answer
    x = 68,930.55

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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.