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Finding the Fourth Proportional to 77,958.72, 107,586.72 and 44,424

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Solution

The fourth proportional to 77,958.72, 107,586.72 and 44,424 is: 61,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,958.72 : 107,586.72 = 44,424 : x
  2. Step 2: Convert to fraction form
    77,958.72/107,586.72 = 44,424/x
  3. Step 3: Cross multiply
    77,958.72x = 107,586.72 × 44,424
  4. Step 4: Simplify right side
    77,958.72x = 4,779,432,449.28
  5. Step 5: Solve for x
    x = 4,779,432,449.28/77,958.72
  6. Step 6: Final answer
    x = 61,307.22

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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.