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Finding the Fourth Proportional to 77,840, 107,421.76 and 42,512

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Solution

The fourth proportional to 77,840, 107,421.76 and 42,512 is: 58,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,840 : 107,421.76 = 42,512 : x
  2. Step 2: Convert to fraction form
    77,840/107,421.76 = 42,512/x
  3. Step 3: Cross multiply
    77,840x = 107,421.76 × 42,512
  4. Step 4: Simplify right side
    77,840x = 4,566,713,861.12
  5. Step 5: Solve for x
    x = 4,566,713,861.12/77,840
  6. Step 6: Final answer
    x = 58,667.96

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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.