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Finding the Fourth Proportional to 51,282.40, 76,931.52 and 21,700.40

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Solution

The fourth proportional to 51,282.40, 76,931.52 and 21,700.40 is: 32,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,282.40 : 76,931.52 = 21,700.40 : x
  2. Step 2: Convert to fraction form
    51,282.40/76,931.52 = 21,700.40/x
  3. Step 3: Cross multiply
    51,282.40x = 76,931.52 × 21,700.40
  4. Step 4: Simplify right side
    51,282.40x = 1,669,444,756.61
  5. Step 5: Solve for x
    x = 1,669,444,756.61/51,282.40
  6. Step 6: Final answer
    x = 32,553.95

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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.