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Finding the Fourth Proportional to 312,561.16, 468,835.26 and 75,905.08

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Solution

The fourth proportional to 312,561.16, 468,835.26 and 75,905.08 is: 113,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,561.16 : 468,835.26 = 75,905.08 : x
  2. Step 2: Convert to fraction form
    312,561.16/468,835.26 = 75,905.08/x
  3. Step 3: Cross multiply
    312,561.16x = 468,835.26 × 75,905.08
  4. Step 4: Simplify right side
    312,561.16x = 35,586,977,917.12
  5. Step 5: Solve for x
    x = 35,586,977,917.12/312,561.16
  6. Step 6: Final answer
    x = 113,856.05

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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.