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Finding the Fourth Proportional to 130,011.56, 194,978.70 and 55,130.60

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Solution

The fourth proportional to 130,011.56, 194,978.70 and 55,130.60 is: 82,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,011.56 : 194,978.70 = 55,130.60 : x
  2. Step 2: Convert to fraction form
    130,011.56/194,978.70 = 55,130.60/x
  3. Step 3: Cross multiply
    130,011.56x = 194,978.70 × 55,130.60
  4. Step 4: Simplify right side
    130,011.56x = 10,749,292,718.22
  5. Step 5: Solve for x
    x = 10,749,292,718.22/130,011.56
  6. Step 6: Final answer
    x = 82,679.51

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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.