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Finding the Fourth Proportional to 139,713.80, 209,570.70 and 50,970.20

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Solution

The fourth proportional to 139,713.80, 209,570.70 and 50,970.20 is: 76,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,713.80 : 209,570.70 = 50,970.20 : x
  2. Step 2: Convert to fraction form
    139,713.80/209,570.70 = 50,970.20/x
  3. Step 3: Cross multiply
    139,713.80x = 209,570.70 × 50,970.20
  4. Step 4: Simplify right side
    139,713.80x = 10,681,860,493.14
  5. Step 5: Solve for x
    x = 10,681,860,493.14/139,713.80
  6. Step 6: Final answer
    x = 76,455.30

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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.