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Finding the Fourth Proportional to 230,206.54, 317,642.93 and 128,229.40

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Solution

The fourth proportional to 230,206.54, 317,642.93 and 128,229.40 is: 176,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,206.54 : 317,642.93 = 128,229.40 : x
  2. Step 2: Convert to fraction form
    230,206.54/317,642.93 = 128,229.40/x
  3. Step 3: Cross multiply
    230,206.54x = 317,642.93 × 128,229.40
  4. Step 4: Simplify right side
    230,206.54x = 40,731,161,687.00
  5. Step 5: Solve for x
    x = 40,731,161,687.00/230,206.54
  6. Step 6: Final answer
    x = 176,933.12

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