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Finding the Fourth Proportional to 130,851, 196,279.74 and 47,745

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Solution

The fourth proportional to 130,851, 196,279.74 and 47,745 is: 71,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,851 : 196,279.74 = 47,745 : x
  2. Step 2: Convert to fraction form
    130,851/196,279.74 = 47,745/x
  3. Step 3: Cross multiply
    130,851x = 196,279.74 × 47,745
  4. Step 4: Simplify right side
    130,851x = 9,371,376,186.30
  5. Step 5: Solve for x
    x = 9,371,376,186.30/130,851
  6. Step 6: Final answer
    x = 71,618.68

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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.