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Finding the Fourth Proportional to 151,351.89, 208,867.05 and 83,369.16

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Solution

The fourth proportional to 151,351.89, 208,867.05 and 83,369.16 is: 115,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,351.89 : 208,867.05 = 83,369.16 : x
  2. Step 2: Convert to fraction form
    151,351.89/208,867.05 = 83,369.16/x
  3. Step 3: Cross multiply
    151,351.89x = 208,867.05 × 83,369.16
  4. Step 4: Simplify right side
    151,351.89x = 17,413,070,510.18
  5. Step 5: Solve for x
    x = 17,413,070,510.18/151,351.89
  6. Step 6: Final answer
    x = 115,050.23

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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.