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Finding the Fourth Proportional to 45,076, 67,615.28 and 12,244

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Solution

The fourth proportional to 45,076, 67,615.28 and 12,244 is: 18,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,076 : 67,615.28 = 12,244 : x
  2. Step 2: Convert to fraction form
    45,076/67,615.28 = 12,244/x
  3. Step 3: Cross multiply
    45,076x = 67,615.28 × 12,244
  4. Step 4: Simplify right side
    45,076x = 827,881,488.32
  5. Step 5: Solve for x
    x = 827,881,488.32/45,076
  6. Step 6: Final answer
    x = 18,366.35

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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.