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Finding the Fourth Proportional to 115,192.18, 172,811.76 and 65,294.56

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Solution

The fourth proportional to 115,192.18, 172,811.76 and 65,294.56 is: 97,955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,192.18 : 172,811.76 = 65,294.56 : x
  2. Step 2: Convert to fraction form
    115,192.18/172,811.76 = 65,294.56/x
  3. Step 3: Cross multiply
    115,192.18x = 172,811.76 × 65,294.56
  4. Step 4: Simplify right side
    115,192.18x = 11,283,667,832.03
  5. Step 5: Solve for x
    x = 11,283,667,832.03/115,192.18
  6. Step 6: Final answer
    x = 97,955.15

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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.