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Finding the Fourth Proportional to 172,029.60, 257,655.60 and 102,045.60

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Solution

The fourth proportional to 172,029.60, 257,655.60 and 102,045.60 is: 152,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,029.60 : 257,655.60 = 102,045.60 : x
  2. Step 2: Convert to fraction form
    172,029.60/257,655.60 = 102,045.60/x
  3. Step 3: Cross multiply
    172,029.60x = 257,655.60 × 102,045.60
  4. Step 4: Simplify right side
    172,029.60x = 26,292,620,295.36
  5. Step 5: Solve for x
    x = 26,292,620,295.36/172,029.60
  6. Step 6: Final answer
    x = 152,837.77

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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.