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Finding the Fourth Proportional to 142,534.80, 213,821.40 and 49,069.20

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Solution

The fourth proportional to 142,534.80, 213,821.40 and 49,069.20 is: 73,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,534.80 : 213,821.40 = 49,069.20 : x
  2. Step 2: Convert to fraction form
    142,534.80/213,821.40 = 49,069.20/x
  3. Step 3: Cross multiply
    142,534.80x = 213,821.40 × 49,069.20
  4. Step 4: Simplify right side
    142,534.80x = 10,492,045,040.88
  5. Step 5: Solve for x
    x = 10,492,045,040.88/142,534.80
  6. Step 6: Final answer
    x = 73,610.41

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1.5x scale

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.