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Finding the Fourth Proportional to 150,273, 207,376.74 and 83,205

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Solution

The fourth proportional to 150,273, 207,376.74 and 83,205 is: 114,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,273 : 207,376.74 = 83,205 : x
  2. Step 2: Convert to fraction form
    150,273/207,376.74 = 83,205/x
  3. Step 3: Cross multiply
    150,273x = 207,376.74 × 83,205
  4. Step 4: Simplify right side
    150,273x = 17,254,781,651.70
  5. Step 5: Solve for x
    x = 17,254,781,651.70/150,273
  6. Step 6: Final answer
    x = 114,822.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.