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Finding the Fourth Proportional to 77,483.25, 116,209.62 and 21,308.94

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Solution

The fourth proportional to 77,483.25, 116,209.62 and 21,308.94 is: 31,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,483.25 : 116,209.62 = 21,308.94 : x
  2. Step 2: Convert to fraction form
    77,483.25/116,209.62 = 21,308.94/x
  3. Step 3: Cross multiply
    77,483.25x = 116,209.62 × 21,308.94
  4. Step 4: Simplify right side
    77,483.25x = 2,476,303,820.00
  5. Step 5: Solve for x
    x = 2,476,303,820.00/77,483.25
  6. Step 6: Final answer
    x = 31,959.21

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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.