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Finding the Fourth Proportional to 77,854.60, 116,738.70 and 31,054.60

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Solution

The fourth proportional to 77,854.60, 116,738.70 and 31,054.60 is: 46,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,854.60 : 116,738.70 = 31,054.60 : x
  2. Step 2: Convert to fraction form
    77,854.60/116,738.70 = 31,054.60/x
  3. Step 3: Cross multiply
    77,854.60x = 116,738.70 × 31,054.60
  4. Step 4: Simplify right side
    77,854.60x = 3,625,273,633.02
  5. Step 5: Solve for x
    x = 3,625,273,633.02/77,854.60
  6. Step 6: Final answer
    x = 46,564.67

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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.