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Finding the Fourth Proportional to 130,764, 196,175.16 and 47,658

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Solution

The fourth proportional to 130,764, 196,175.16 and 47,658 is: 71,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,764 : 196,175.16 = 47,658 : x
  2. Step 2: Convert to fraction form
    130,764/196,175.16 = 47,658/x
  3. Step 3: Cross multiply
    130,764x = 196,175.16 × 47,658
  4. Step 4: Simplify right side
    130,764x = 9,349,315,775.28
  5. Step 5: Solve for x
    x = 9,349,315,775.28/130,764
  6. Step 6: Final answer
    x = 71,497.63

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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.