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Finding the Fourth Proportional to 112,926, 169,398.81 and 29,820

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Solution

The fourth proportional to 112,926, 169,398.81 and 29,820 is: 44,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,926 : 169,398.81 = 29,820 : x
  2. Step 2: Convert to fraction form
    112,926/169,398.81 = 29,820/x
  3. Step 3: Cross multiply
    112,926x = 169,398.81 × 29,820
  4. Step 4: Simplify right side
    112,926x = 5,051,472,514.20
  5. Step 5: Solve for x
    x = 5,051,472,514.20/112,926
  6. Step 6: Final answer
    x = 44,732.59

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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.