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Finding the Fourth Proportional to 77,395.70, 116,085.75 and 21,241.45

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Solution

The fourth proportional to 77,395.70, 116,085.75 and 21,241.45 is: 31,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,395.70 : 116,085.75 = 21,241.45 : x
  2. Step 2: Convert to fraction form
    77,395.70/116,085.75 = 21,241.45/x
  3. Step 3: Cross multiply
    77,395.70x = 116,085.75 × 21,241.45
  4. Step 4: Simplify right side
    77,395.70x = 2,465,829,364.12
  5. Step 5: Solve for x
    x = 2,465,829,364.12/77,395.70
  6. Step 6: Final answer
    x = 31,860.03

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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.