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Finding the Fourth Proportional to 77,881.60, 116,649.60 and 31,110.40

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Solution

The fourth proportional to 77,881.60, 116,649.60 and 31,110.40 is: 46,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881.60 : 116,649.60 = 31,110.40 : x
  2. Step 2: Convert to fraction form
    77,881.60/116,649.60 = 31,110.40/x
  3. Step 3: Cross multiply
    77,881.60x = 116,649.60 × 31,110.40
  4. Step 4: Simplify right side
    77,881.60x = 3,629,015,715.84
  5. Step 5: Solve for x
    x = 3,629,015,715.84/77,881.60
  6. Step 6: Final answer
    x = 46,596.57

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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.