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Finding the Fourth Proportional to 172,877.10, 259,704.45 and 120,389.10

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Solution

The fourth proportional to 172,877.10, 259,704.45 and 120,389.10 is: 180,854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,877.10 : 259,704.45 = 120,389.10 : x
  2. Step 2: Convert to fraction form
    172,877.10/259,704.45 = 120,389.10/x
  3. Step 3: Cross multiply
    172,877.10x = 259,704.45 × 120,389.10
  4. Step 4: Simplify right side
    172,877.10x = 31,265,585,001.50
  5. Step 5: Solve for x
    x = 31,265,585,001.50/172,877.10
  6. Step 6: Final answer
    x = 180,854.40

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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.