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Finding the Fourth Proportional to 172,509.10, 258,520.65 and 137,031.10

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Solution

The fourth proportional to 172,509.10, 258,520.65 and 137,031.10 is: 205,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,509.10 : 258,520.65 = 137,031.10 : x
  2. Step 2: Convert to fraction form
    172,509.10/258,520.65 = 137,031.10/x
  3. Step 3: Cross multiply
    172,509.10x = 258,520.65 × 137,031.10
  4. Step 4: Simplify right side
    172,509.10x = 35,425,369,042.22
  5. Step 5: Solve for x
    x = 35,425,369,042.22/172,509.10
  6. Step 6: Final answer
    x = 205,353.63

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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.