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Finding the Fourth Proportional to 77,810.46, 116,540.64 and 54,540.78

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Solution

The fourth proportional to 77,810.46, 116,540.64 and 54,540.78 is: 81,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,810.46 : 116,540.64 = 54,540.78 : x
  2. Step 2: Convert to fraction form
    77,810.46/116,540.64 = 54,540.78/x
  3. Step 3: Cross multiply
    77,810.46x = 116,540.64 × 54,540.78
  4. Step 4: Simplify right side
    77,810.46x = 6,356,217,407.30
  5. Step 5: Solve for x
    x = 6,356,217,407.30/77,810.46
  6. Step 6: Final answer
    x = 81,688.47

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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.