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Finding the Fourth Proportional to 77,914.98, 116,830.86 and 40,437.30

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Solution

The fourth proportional to 77,914.98, 116,830.86 and 40,437.30 is: 60,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,914.98 : 116,830.86 = 40,437.30 : x
  2. Step 2: Convert to fraction form
    77,914.98/116,830.86 = 40,437.30/x
  3. Step 3: Cross multiply
    77,914.98x = 116,830.86 × 40,437.30
  4. Step 4: Simplify right side
    77,914.98x = 4,724,324,535.08
  5. Step 5: Solve for x
    x = 4,724,324,535.08/77,914.98
  6. Step 6: Final answer
    x = 60,634.35

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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.