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Finding the Fourth Proportional to 172,651.40, 258,458.70 and 102,494.60

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Solution

The fourth proportional to 172,651.40, 258,458.70 and 102,494.60 is: 153,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,651.40 : 258,458.70 = 102,494.60 : x
  2. Step 2: Convert to fraction form
    172,651.40/258,458.70 = 102,494.60/x
  3. Step 3: Cross multiply
    172,651.40x = 258,458.70 × 102,494.60
  4. Step 4: Simplify right side
    172,651.40x = 26,490,621,073.02
  5. Step 5: Solve for x
    x = 26,490,621,073.02/172,651.40
  6. Step 6: Final answer
    x = 153,434.15

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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.