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Finding the Fourth Proportional to 172,014.44, 258,054.15 and 77,242.41

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Solution

The fourth proportional to 172,014.44, 258,054.15 and 77,242.41 is: 115,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,014.44 : 258,054.15 = 77,242.41 : x
  2. Step 2: Convert to fraction form
    172,014.44/258,054.15 = 77,242.41/x
  3. Step 3: Cross multiply
    172,014.44x = 258,054.15 × 77,242.41
  4. Step 4: Simplify right side
    172,014.44x = 19,932,724,746.16
  5. Step 5: Solve for x
    x = 19,932,724,746.16/172,014.44
  6. Step 6: Final answer
    x = 115,878.21

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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.