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Finding the Fourth Proportional to 146,854, 202,658.52 and 79,786

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Solution

The fourth proportional to 146,854, 202,658.52 and 79,786 is: 110,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,854 : 202,658.52 = 79,786 : x
  2. Step 2: Convert to fraction form
    146,854/202,658.52 = 79,786/x
  3. Step 3: Cross multiply
    146,854x = 202,658.52 × 79,786
  4. Step 4: Simplify right side
    146,854x = 16,169,312,676.72
  5. Step 5: Solve for x
    x = 16,169,312,676.72/146,854
  6. Step 6: Final answer
    x = 110,104.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.