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Finding the Fourth Proportional to 70,746.63, 106,083.43 and 20,820.25

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Solution

The fourth proportional to 70,746.63, 106,083.43 and 20,820.25 is: 31,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,746.63 : 106,083.43 = 20,820.25 : x
  2. Step 2: Convert to fraction form
    70,746.63/106,083.43 = 20,820.25/x
  3. Step 3: Cross multiply
    70,746.63x = 106,083.43 × 20,820.25
  4. Step 4: Simplify right side
    70,746.63x = 2,208,683,216.20
  5. Step 5: Solve for x
    x = 2,208,683,216.20/70,746.63
  6. Step 6: Final answer
    x = 31,219.62

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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.