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Finding the Fourth Proportional to 172,655.24, 258,982.24 and 77,774.36

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Solution

The fourth proportional to 172,655.24, 258,982.24 and 77,774.36 is: 116,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,655.24 : 258,982.24 = 77,774.36 : x
  2. Step 2: Convert to fraction form
    172,655.24/258,982.24 = 77,774.36/x
  3. Step 3: Cross multiply
    172,655.24x = 258,982.24 × 77,774.36
  4. Step 4: Simplify right side
    172,655.24x = 20,142,177,967.37
  5. Step 5: Solve for x
    x = 20,142,177,967.37/172,655.24
  6. Step 6: Final answer
    x = 116,661.26

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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.