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Finding the Fourth Proportional to 77,906.40, 116,888.40 and 25,317.60

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Solution

The fourth proportional to 77,906.40, 116,888.40 and 25,317.60 is: 37,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,906.40 : 116,888.40 = 25,317.60 : x
  2. Step 2: Convert to fraction form
    77,906.40/116,888.40 = 25,317.60/x
  3. Step 3: Cross multiply
    77,906.40x = 116,888.40 × 25,317.60
  4. Step 4: Simplify right side
    77,906.40x = 2,959,333,755.84
  5. Step 5: Solve for x
    x = 2,959,333,755.84/77,906.40
  6. Step 6: Final answer
    x = 37,985.76

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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.