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Finding the Fourth Proportional to 56,013, 77,298.18 and 30,861.96

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Solution

The fourth proportional to 56,013, 77,298.18 and 30,861.96 is: 42,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,013 : 77,298.18 = 30,861.96 : x
  2. Step 2: Convert to fraction form
    56,013/77,298.18 = 30,861.96/x
  3. Step 3: Cross multiply
    56,013x = 77,298.18 × 30,861.96
  4. Step 4: Simplify right side
    56,013x = 2,385,573,339.23
  5. Step 5: Solve for x
    x = 2,385,573,339.23/56,013
  6. Step 6: Final answer
    x = 42,589.64

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