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Finding the Fourth Proportional to 316,099.75, 474,051.21 and 105,688.48

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Solution

The fourth proportional to 316,099.75, 474,051.21 and 105,688.48 is: 158,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,099.75 : 474,051.21 = 105,688.48 : x
  2. Step 2: Convert to fraction form
    316,099.75/474,051.21 = 105,688.48/x
  3. Step 3: Cross multiply
    316,099.75x = 474,051.21 × 105,688.48
  4. Step 4: Simplify right side
    316,099.75x = 50,101,751,827.06
  5. Step 5: Solve for x
    x = 50,101,751,827.06/316,099.75
  6. Step 6: Final answer
    x = 158,499.81

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Why These Related Problems?

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