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Finding the Fourth Proportional to 172,094.40, 258,141.60 and 47,435.40

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Solution

The fourth proportional to 172,094.40, 258,141.60 and 47,435.40 is: 71,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,094.40 : 258,141.60 = 47,435.40 : x
  2. Step 2: Convert to fraction form
    172,094.40/258,141.60 = 47,435.40/x
  3. Step 3: Cross multiply
    172,094.40x = 258,141.60 × 47,435.40
  4. Step 4: Simplify right side
    172,094.40x = 12,245,050,052.64
  5. Step 5: Solve for x
    x = 12,245,050,052.64/172,094.40
  6. Step 6: Final answer
    x = 71,153.10

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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.