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Finding the Fourth Proportional to 51,859.60, 77,827.80 and 20,717.20

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Solution

The fourth proportional to 51,859.60, 77,827.80 and 20,717.20 is: 31,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,859.60 : 77,827.80 = 20,717.20 : x
  2. Step 2: Convert to fraction form
    51,859.60/77,827.80 = 20,717.20/x
  3. Step 3: Cross multiply
    51,859.60x = 77,827.80 × 20,717.20
  4. Step 4: Simplify right side
    51,859.60x = 1,612,374,098.16
  5. Step 5: Solve for x
    x = 1,612,374,098.16/51,859.60
  6. Step 6: Final answer
    x = 31,091.14

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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.