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Finding the Fourth Proportional to 172,012.60, 257,630.10 and 102,028.60

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Solution

The fourth proportional to 172,012.60, 257,630.10 and 102,028.60 is: 152,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,012.60 : 257,630.10 = 102,028.60 : x
  2. Step 2: Convert to fraction form
    172,012.60/257,630.10 = 102,028.60/x
  3. Step 3: Cross multiply
    172,012.60x = 257,630.10 × 102,028.60
  4. Step 4: Simplify right side
    172,012.60x = 26,285,638,420.86
  5. Step 5: Solve for x
    x = 26,285,638,420.86/172,012.60
  6. Step 6: Final answer
    x = 152,812.28

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1.5x scale

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.