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Finding the Fourth Proportional to 42,630, 63,968.04 and 20,742

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Solution

The fourth proportional to 42,630, 63,968.04 and 20,742 is: 31,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,630 : 63,968.04 = 20,742 : x
  2. Step 2: Convert to fraction form
    42,630/63,968.04 = 20,742/x
  3. Step 3: Cross multiply
    42,630x = 63,968.04 × 20,742
  4. Step 4: Simplify right side
    42,630x = 1,326,825,085.68
  5. Step 5: Solve for x
    x = 1,326,825,085.68/42,630
  6. Step 6: Final answer
    x = 31,124.21

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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.