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Finding the Fourth Proportional to 77,894.70, 116,918.85 and 38,496.30

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Solution

The fourth proportional to 77,894.70, 116,918.85 and 38,496.30 is: 57,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,894.70 : 116,918.85 = 38,496.30 : x
  2. Step 2: Convert to fraction form
    77,894.70/116,918.85 = 38,496.30/x
  3. Step 3: Cross multiply
    77,894.70x = 116,918.85 × 38,496.30
  4. Step 4: Simplify right side
    77,894.70x = 4,500,943,125.26
  5. Step 5: Solve for x
    x = 4,500,943,125.26/77,894.70
  6. Step 6: Final answer
    x = 57,782.41

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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.