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Finding the Fourth Proportional to 45,902.60, 68,756.70 and 40,977.80

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Solution

The fourth proportional to 45,902.60, 68,756.70 and 40,977.80 is: 61,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,902.60 : 68,756.70 = 40,977.80 : x
  2. Step 2: Convert to fraction form
    45,902.60/68,756.70 = 40,977.80/x
  3. Step 3: Cross multiply
    45,902.60x = 68,756.70 × 40,977.80
  4. Step 4: Simplify right side
    45,902.60x = 2,817,498,301.26
  5. Step 5: Solve for x
    x = 2,817,498,301.26/45,902.60
  6. Step 6: Final answer
    x = 61,379.93

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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.