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Finding the Fourth Proportional to 142,643.80, 213,908.10 and 49,101.40

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Solution

The fourth proportional to 142,643.80, 213,908.10 and 49,101.40 is: 73,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,643.80 : 213,908.10 = 49,101.40 : x
  2. Step 2: Convert to fraction form
    142,643.80/213,908.10 = 49,101.40/x
  3. Step 3: Cross multiply
    142,643.80x = 213,908.10 × 49,101.40
  4. Step 4: Simplify right side
    142,643.80x = 10,503,187,181.34
  5. Step 5: Solve for x
    x = 10,503,187,181.34/142,643.80
  6. Step 6: Final answer
    x = 73,632.27

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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.