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Finding the Fourth Proportional to 209,807.92, 314,431.62 and 76,562.92

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Solution

The fourth proportional to 209,807.92, 314,431.62 and 76,562.92 is: 114,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,807.92 : 314,431.62 = 76,562.92 : x
  2. Step 2: Convert to fraction form
    209,807.92/314,431.62 = 76,562.92/x
  3. Step 3: Cross multiply
    209,807.92x = 314,431.62 × 76,562.92
  4. Step 4: Simplify right side
    209,807.92x = 24,073,802,967.53
  5. Step 5: Solve for x
    x = 24,073,802,967.53/209,807.92
  6. Step 6: Final answer
    x = 114,742.11

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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.