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Finding the Fourth Proportional to 130,412, 179,977.56 and 73,823.60

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Solution

The fourth proportional to 130,412, 179,977.56 and 73,823.60 is: 101,881.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,412 : 179,977.56 = 73,823.60 : x
  2. Step 2: Convert to fraction form
    130,412/179,977.56 = 73,823.60/x
  3. Step 3: Cross multiply
    130,412x = 179,977.56 × 73,823.60
  4. Step 4: Simplify right side
    130,412x = 13,286,591,398.42
  5. Step 5: Solve for x
    x = 13,286,591,398.42/130,412
  6. Step 6: Final answer
    x = 101,881.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.