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Finding the Fourth Proportional to 151,953.67, 209,685.58 and 83,970

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Solution

The fourth proportional to 151,953.67, 209,685.58 and 83,970 is: 115,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,953.67 : 209,685.58 = 83,970 : x
  2. Step 2: Convert to fraction form
    151,953.67/209,685.58 = 83,970/x
  3. Step 3: Cross multiply
    151,953.67x = 209,685.58 × 83,970
  4. Step 4: Simplify right side
    151,953.67x = 17,607,297,942.68
  5. Step 5: Solve for x
    x = 17,607,297,942.68/151,953.67
  6. Step 6: Final answer
    x = 115,872.80

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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.