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Finding the Fourth Proportional to 130,682, 196,023 and 56,810

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Solution

The fourth proportional to 130,682, 196,023 and 56,810 is: 85,215

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,682 : 196,023 = 56,810 : x
  2. Step 2: Convert to fraction form
    130,682/196,023 = 56,810/x
  3. Step 3: Cross multiply
    130,682x = 196,023 × 56,810
  4. Step 4: Simplify right side
    130,682x = 11,136,066,630
  5. Step 5: Solve for x
    x = 11,136,066,630/130,682
  6. Step 6: Final answer
    x = 85,215

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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.