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Finding the Fourth Proportional to 51,393.60, 77,032.80 and 21,806.40

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Solution

The fourth proportional to 51,393.60, 77,032.80 and 21,806.40 is: 32,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,393.60 : 77,032.80 = 21,806.40 : x
  2. Step 2: Convert to fraction form
    51,393.60/77,032.80 = 21,806.40/x
  3. Step 3: Cross multiply
    51,393.60x = 77,032.80 × 21,806.40
  4. Step 4: Simplify right side
    51,393.60x = 1,679,808,049.92
  5. Step 5: Solve for x
    x = 1,679,808,049.92/51,393.60
  6. Step 6: Final answer
    x = 32,685.16

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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.