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Finding the Fourth Proportional to 115,213.73, 172,844.10 and 65,316.11

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Solution

The fourth proportional to 115,213.73, 172,844.10 and 65,316.11 is: 97,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,213.73 : 172,844.10 = 65,316.11 : x
  2. Step 2: Convert to fraction form
    115,213.73/172,844.10 = 65,316.11/x
  3. Step 3: Cross multiply
    115,213.73x = 172,844.10 × 65,316.11
  4. Step 4: Simplify right side
    115,213.73x = 11,289,503,384.23
  5. Step 5: Solve for x
    x = 11,289,503,384.23/115,213.73
  6. Step 6: Final answer
    x = 97,987.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.