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Finding the Fourth Proportional to 312,756.25, 469,130.11 and 76,099.16

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Solution

The fourth proportional to 312,756.25, 469,130.11 and 76,099.16 is: 114,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,756.25 : 469,130.11 = 76,099.16 : x
  2. Step 2: Convert to fraction form
    312,756.25/469,130.11 = 76,099.16/x
  3. Step 3: Cross multiply
    312,756.25x = 469,130.11 × 76,099.16
  4. Step 4: Simplify right side
    312,756.25x = 35,700,407,301.71
  5. Step 5: Solve for x
    x = 35,700,407,301.71/312,756.25
  6. Step 6: Final answer
    x = 114,147.70

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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.