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Finding the Fourth Proportional to 172,648.40, 258,454.20 and 102,491.60

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Solution

The fourth proportional to 172,648.40, 258,454.20 and 102,491.60 is: 153,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,648.40 : 258,454.20 = 102,491.60 : x
  2. Step 2: Convert to fraction form
    172,648.40/258,454.20 = 102,491.60/x
  3. Step 3: Cross multiply
    172,648.40x = 258,454.20 × 102,491.60
  4. Step 4: Simplify right side
    172,648.40x = 26,489,384,484.72
  5. Step 5: Solve for x
    x = 26,489,384,484.72/172,648.40
  6. Step 6: Final answer
    x = 153,429.66

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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.