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Finding the Fourth Proportional to 78,090.77, 107,711.87 and 49,446.87

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Solution

The fourth proportional to 78,090.77, 107,711.87 and 49,446.87 is: 68,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,090.77 : 107,711.87 = 49,446.87 : x
  2. Step 2: Convert to fraction form
    78,090.77/107,711.87 = 49,446.87/x
  3. Step 3: Cross multiply
    78,090.77x = 107,711.87 × 49,446.87
  4. Step 4: Simplify right side
    78,090.77x = 5,326,014,586.11
  5. Step 5: Solve for x
    x = 5,326,014,586.11/78,090.77
  6. Step 6: Final answer
    x = 68,202.87

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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.