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Finding the Fourth Proportional to 172,865.45, 259,295.60 and 105,417.30

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Solution

The fourth proportional to 172,865.45, 259,295.60 and 105,417.30 is: 158,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,865.45 : 259,295.60 = 105,417.30 : x
  2. Step 2: Convert to fraction form
    172,865.45/259,295.60 = 105,417.30/x
  3. Step 3: Cross multiply
    172,865.45x = 259,295.60 × 105,417.30
  4. Step 4: Simplify right side
    172,865.45x = 27,334,241,526.79
  5. Step 5: Solve for x
    x = 27,334,241,526.79/172,865.45
  6. Step 6: Final answer
    x = 158,124.38

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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.