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Finding the Fourth Proportional to 130,194.38, 179,659.73 and 72,823.74

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Solution

The fourth proportional to 130,194.38, 179,659.73 and 72,823.74 is: 100,492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,194.38 : 179,659.73 = 72,823.74 : x
  2. Step 2: Convert to fraction form
    130,194.38/179,659.73 = 72,823.74/x
  3. Step 3: Cross multiply
    130,194.38x = 179,659.73 × 72,823.74
  4. Step 4: Simplify right side
    130,194.38x = 13,083,493,465.99
  5. Step 5: Solve for x
    x = 13,083,493,465.99/130,194.38
  6. Step 6: Final answer
    x = 100,492.00

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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.