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Finding the Fourth Proportional to 151,353.64, 208,869.47 and 83,370.90

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Solution

The fourth proportional to 151,353.64, 208,869.47 and 83,370.90 is: 115,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,353.64 : 208,869.47 = 83,370.90 : x
  2. Step 2: Convert to fraction form
    151,353.64/208,869.47 = 83,370.90/x
  3. Step 3: Cross multiply
    151,353.64x = 208,869.47 × 83,370.90
  4. Step 4: Simplify right side
    151,353.64x = 17,413,635,696.42
  5. Step 5: Solve for x
    x = 17,413,635,696.42/151,353.64
  6. Step 6: Final answer
    x = 115,052.64

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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.