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Finding the Fourth Proportional to 151,592, 209,194.13 and 83,615.32

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Solution

The fourth proportional to 151,592, 209,194.13 and 83,615.32 is: 115,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,592 : 209,194.13 = 83,615.32 : x
  2. Step 2: Convert to fraction form
    151,592/209,194.13 = 83,615.32/x
  3. Step 3: Cross multiply
    151,592x = 209,194.13 × 83,615.32
  4. Step 4: Simplify right side
    151,592x = 17,491,832,658.02
  5. Step 5: Solve for x
    x = 17,491,832,658.02/151,592
  6. Step 6: Final answer
    x = 115,387.57

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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.