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Finding the Fourth Proportional to 172,334.61, 258,502.01 and 78,774.75

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Solution

The fourth proportional to 172,334.61, 258,502.01 and 78,774.75 is: 118,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,334.61 : 258,502.01 = 78,774.75 : x
  2. Step 2: Convert to fraction form
    172,334.61/258,502.01 = 78,774.75/x
  3. Step 3: Cross multiply
    172,334.61x = 258,502.01 × 78,774.75
  4. Step 4: Simplify right side
    172,334.61x = 20,363,431,212.25
  5. Step 5: Solve for x
    x = 20,363,431,212.25/172,334.61
  6. Step 6: Final answer
    x = 118,162.17

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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.