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Finding the Fourth Proportional to 172,688.60, 258,644.10 and 102,704.60

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Solution

The fourth proportional to 172,688.60, 258,644.10 and 102,704.60 is: 153,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,688.60 : 258,644.10 = 102,704.60 : x
  2. Step 2: Convert to fraction form
    172,688.60/258,644.10 = 102,704.60/x
  3. Step 3: Cross multiply
    172,688.60x = 258,644.10 × 102,704.60
  4. Step 4: Simplify right side
    172,688.60x = 26,563,938,832.86
  5. Step 5: Solve for x
    x = 26,563,938,832.86/172,688.60
  6. Step 6: Final answer
    x = 153,825.67

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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.