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Finding the Fourth Proportional to 151,908.57, 209,638.05 and 83,929.93

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Solution

The fourth proportional to 151,908.57, 209,638.05 and 83,929.93 is: 115,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,908.57 : 209,638.05 = 83,929.93 : x
  2. Step 2: Convert to fraction form
    151,908.57/209,638.05 = 83,929.93/x
  3. Step 3: Cross multiply
    151,908.57x = 209,638.05 × 83,929.93
  4. Step 4: Simplify right side
    151,908.57x = 17,594,906,861.84
  5. Step 5: Solve for x
    x = 17,594,906,861.84/151,908.57
  6. Step 6: Final answer
    x = 115,825.64

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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.