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Finding the Fourth Proportional to 213,041.80, 319,562.70 and 134,504.20

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Solution

The fourth proportional to 213,041.80, 319,562.70 and 134,504.20 is: 201,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,041.80 : 319,562.70 = 134,504.20 : x
  2. Step 2: Convert to fraction form
    213,041.80/319,562.70 = 134,504.20/x
  3. Step 3: Cross multiply
    213,041.80x = 319,562.70 × 134,504.20
  4. Step 4: Simplify right side
    213,041.80x = 42,982,525,313.34
  5. Step 5: Solve for x
    x = 42,982,525,313.34/213,041.80
  6. Step 6: Final answer
    x = 201,756.30

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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.