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Finding the Fourth Proportional to 345,114.51, 517,745.99 and 172,100.53

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Solution

The fourth proportional to 345,114.51, 517,745.99 and 172,100.53 is: 258,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,114.51 : 517,745.99 = 172,100.53 : x
  2. Step 2: Convert to fraction form
    345,114.51/517,745.99 = 172,100.53/x
  3. Step 3: Cross multiply
    345,114.51x = 517,745.99 × 172,100.53
  4. Step 4: Simplify right side
    345,114.51x = 89,104,358,639.00
  5. Step 5: Solve for x
    x = 89,104,358,639.00/345,114.51
  6. Step 6: Final answer
    x = 258,187.81

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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.