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Finding the Fourth Proportional to 51,281.40, 76,930.02 and 21,699.40

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Solution

The fourth proportional to 51,281.40, 76,930.02 and 21,699.40 is: 32,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,281.40 : 76,930.02 = 21,699.40 : x
  2. Step 2: Convert to fraction form
    51,281.40/76,930.02 = 21,699.40/x
  3. Step 3: Cross multiply
    51,281.40x = 76,930.02 × 21,699.40
  4. Step 4: Simplify right side
    51,281.40x = 1,669,335,275.99
  5. Step 5: Solve for x
    x = 1,669,335,275.99/51,281.40
  6. Step 6: Final answer
    x = 32,552.45

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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.