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Finding the Fourth Proportional to 130,410, 179,974.80 and 73,821.60

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Solution

The fourth proportional to 130,410, 179,974.80 and 73,821.60 is: 101,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,410 : 179,974.80 = 73,821.60 : x
  2. Step 2: Convert to fraction form
    130,410/179,974.80 = 73,821.60/x
  3. Step 3: Cross multiply
    130,410x = 179,974.80 × 73,821.60
  4. Step 4: Simplify right side
    130,410x = 13,286,027,695.68
  5. Step 5: Solve for x
    x = 13,286,027,695.68/130,410
  6. Step 6: Final answer
    x = 101,878.90

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1.5x scale

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.