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Finding the Fourth Proportional to 77,975.84, 107,606.67 and 42,165.86

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Solution

The fourth proportional to 77,975.84, 107,606.67 and 42,165.86 is: 58,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,975.84 : 107,606.67 = 42,165.86 : x
  2. Step 2: Convert to fraction form
    77,975.84/107,606.67 = 42,165.86/x
  3. Step 3: Cross multiply
    77,975.84x = 107,606.67 × 42,165.86
  4. Step 4: Simplify right side
    77,975.84x = 4,537,327,033.42
  5. Step 5: Solve for x
    x = 4,537,327,033.42/77,975.84
  6. Step 6: Final answer
    x = 58,188.88

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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.