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Finding the Fourth Proportional to 51,854.60, 77,820.30 and 20,712.20

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Solution

The fourth proportional to 51,854.60, 77,820.30 and 20,712.20 is: 31,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854.60 : 77,820.30 = 20,712.20 : x
  2. Step 2: Convert to fraction form
    51,854.60/77,820.30 = 20,712.20/x
  3. Step 3: Cross multiply
    51,854.60x = 77,820.30 × 20,712.20
  4. Step 4: Simplify right side
    51,854.60x = 1,611,829,617.66
  5. Step 5: Solve for x
    x = 1,611,829,617.66/51,854.60
  6. Step 6: Final answer
    x = 31,083.64

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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.