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Finding the Fourth Proportional to 172,298.05, 258,447.07 and 78,738.19

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Solution

The fourth proportional to 172,298.05, 258,447.07 and 78,738.19 is: 118,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,298.05 : 258,447.07 = 78,738.19 : x
  2. Step 2: Convert to fraction form
    172,298.05/258,447.07 = 78,738.19/x
  3. Step 3: Cross multiply
    172,298.05x = 258,447.07 × 78,738.19
  4. Step 4: Simplify right side
    172,298.05x = 20,349,653,954.91
  5. Step 5: Solve for x
    x = 20,349,653,954.91/172,298.05
  6. Step 6: Final answer
    x = 118,107.28

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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.