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Finding the Fourth Proportional to 77,186.61, 115,779.92 and 21,782.61

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Solution

The fourth proportional to 77,186.61, 115,779.92 and 21,782.61 is: 32,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,186.61 : 115,779.92 = 21,782.61 : x
  2. Step 2: Convert to fraction form
    77,186.61/115,779.92 = 21,782.61/x
  3. Step 3: Cross multiply
    77,186.61x = 115,779.92 × 21,782.61
  4. Step 4: Simplify right side
    77,186.61x = 2,521,988,734.28
  5. Step 5: Solve for x
    x = 2,521,988,734.28/77,186.61
  6. Step 6: Final answer
    x = 32,673.92

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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.