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Finding the Fourth Proportional to 105,181.38, 157,733.16 and 30,276.24

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Solution

The fourth proportional to 105,181.38, 157,733.16 and 30,276.24 is: 45,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,181.38 : 157,733.16 = 30,276.24 : x
  2. Step 2: Convert to fraction form
    105,181.38/157,733.16 = 30,276.24/x
  3. Step 3: Cross multiply
    105,181.38x = 157,733.16 × 30,276.24
  4. Step 4: Simplify right side
    105,181.38x = 4,775,567,008.12
  5. Step 5: Solve for x
    x = 4,775,567,008.12/105,181.38
  6. Step 6: Final answer
    x = 45,403.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.