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Finding the Fourth Proportional to 172,093.66, 258,051.78 and 77,242.53

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Solution

The fourth proportional to 172,093.66, 258,051.78 and 77,242.53 is: 115,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,093.66 : 258,051.78 = 77,242.53 : x
  2. Step 2: Convert to fraction form
    172,093.66/258,051.78 = 77,242.53/x
  3. Step 3: Cross multiply
    172,093.66x = 258,051.78 × 77,242.53
  4. Step 4: Simplify right side
    172,093.66x = 19,932,572,922.89
  5. Step 5: Solve for x
    x = 19,932,572,922.89/172,093.66
  6. Step 6: Final answer
    x = 115,823.98

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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.