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Finding the Fourth Proportional to 207,992.92, 312,056.16 and 144,220

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Solution

The fourth proportional to 207,992.92, 312,056.16 and 144,220 is: 216,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,992.92 : 312,056.16 = 144,220 : x
  2. Step 2: Convert to fraction form
    207,992.92/312,056.16 = 144,220/x
  3. Step 3: Cross multiply
    207,992.92x = 312,056.16 × 144,220
  4. Step 4: Simplify right side
    207,992.92x = 45,004,739,395.20
  5. Step 5: Solve for x
    x = 45,004,739,395.20/207,992.92
  6. Step 6: Final answer
    x = 216,376.30

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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.