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Finding the Fourth Proportional to 167,403.48, 230,980.86 and 99,443.38

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Solution

The fourth proportional to 167,403.48, 230,980.86 and 99,443.38 is: 137,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,403.48 : 230,980.86 = 99,443.38 : x
  2. Step 2: Convert to fraction form
    167,403.48/230,980.86 = 99,443.38/x
  3. Step 3: Cross multiply
    167,403.48x = 230,980.86 × 99,443.38
  4. Step 4: Simplify right side
    167,403.48x = 22,969,517,433.71
  5. Step 5: Solve for x
    x = 22,969,517,433.71/167,403.48
  6. Step 6: Final answer
    x = 137,210.51

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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.