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Finding the Fourth Proportional to 172,398.64, 258,595.36 and 77,561.85

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Solution

The fourth proportional to 172,398.64, 258,595.36 and 77,561.85 is: 116,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,398.64 : 258,595.36 = 77,561.85 : x
  2. Step 2: Convert to fraction form
    172,398.64/258,595.36 = 77,561.85/x
  3. Step 3: Cross multiply
    172,398.64x = 258,595.36 × 77,561.85
  4. Step 4: Simplify right side
    172,398.64x = 20,057,134,523.02
  5. Step 5: Solve for x
    x = 20,057,134,523.02/172,398.64
  6. Step 6: Final answer
    x = 116,341.61

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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.