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Finding the Fourth Proportional to 172,701.60, 259,002.56 and 72,884.16

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Solution

The fourth proportional to 172,701.60, 259,002.56 and 72,884.16 is: 109,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,701.60 : 259,002.56 = 72,884.16 : x
  2. Step 2: Convert to fraction form
    172,701.60/259,002.56 = 72,884.16/x
  3. Step 3: Cross multiply
    172,701.60x = 259,002.56 × 72,884.16
  4. Step 4: Simplify right side
    172,701.60x = 18,877,184,023.45
  5. Step 5: Solve for x
    x = 18,877,184,023.45/172,701.60
  6. Step 6: Final answer
    x = 109,305.21

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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.