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Finding the Fourth Proportional to 130,734, 196,130.16 and 47,628

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Solution

The fourth proportional to 130,734, 196,130.16 and 47,628 is: 71,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,734 : 196,130.16 = 47,628 : x
  2. Step 2: Convert to fraction form
    130,734/196,130.16 = 47,628/x
  3. Step 3: Cross multiply
    130,734x = 196,130.16 × 47,628
  4. Step 4: Simplify right side
    130,734x = 9,341,287,260.48
  5. Step 5: Solve for x
    x = 9,341,287,260.48/130,734
  6. Step 6: Final answer
    x = 71,452.62

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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.