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Finding the Fourth Proportional to 151,953.60, 209,694.60 and 83,975.16

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Solution

The fourth proportional to 151,953.60, 209,694.60 and 83,975.16 is: 115,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,953.60 : 209,694.60 = 83,975.16 : x
  2. Step 2: Convert to fraction form
    151,953.60/209,694.60 = 83,975.16/x
  3. Step 3: Cross multiply
    151,953.60x = 209,694.60 × 83,975.16
  4. Step 4: Simplify right side
    151,953.60x = 17,609,137,586.14
  5. Step 5: Solve for x
    x = 17,609,137,586.14/151,953.60
  6. Step 6: Final answer
    x = 115,884.96

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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.