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Finding the Fourth Proportional to 207,516, 310,775.20 and 118,500

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Solution

The fourth proportional to 207,516, 310,775.20 and 118,500 is: 177,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,516 : 310,775.20 = 118,500 : x
  2. Step 2: Convert to fraction form
    207,516/310,775.20 = 118,500/x
  3. Step 3: Cross multiply
    207,516x = 310,775.20 × 118,500
  4. Step 4: Simplify right side
    207,516x = 36,826,861,200
  5. Step 5: Solve for x
    x = 36,826,861,200/207,516
  6. Step 6: Final answer
    x = 177,465.17

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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.