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Finding the Fourth Proportional to 172,002.60, 257,615.10 and 102,018.60

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Solution

The fourth proportional to 172,002.60, 257,615.10 and 102,018.60 is: 152,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,002.60 : 257,615.10 = 102,018.60 : x
  2. Step 2: Convert to fraction form
    172,002.60/257,615.10 = 102,018.60/x
  3. Step 3: Cross multiply
    172,002.60x = 257,615.10 × 102,018.60
  4. Step 4: Simplify right side
    172,002.60x = 26,281,531,840.86
  5. Step 5: Solve for x
    x = 26,281,531,840.86/172,002.60
  6. Step 6: Final answer
    x = 152,797.29

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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.