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Finding the Fourth Proportional to 51,820.52, 77,705.22 and 21,829.28

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Solution

The fourth proportional to 51,820.52, 77,705.22 and 21,829.28 is: 32,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,820.52 : 77,705.22 = 21,829.28 : x
  2. Step 2: Convert to fraction form
    51,820.52/77,705.22 = 21,829.28/x
  3. Step 3: Cross multiply
    51,820.52x = 77,705.22 × 21,829.28
  4. Step 4: Simplify right side
    51,820.52x = 1,696,249,004.84
  5. Step 5: Solve for x
    x = 1,696,249,004.84/51,820.52
  6. Step 6: Final answer
    x = 32,733.15

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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.