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Finding the Fourth Proportional to 45,139, 67,708.52 and 12,307

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Solution

The fourth proportional to 45,139, 67,708.52 and 12,307 is: 18,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,139 : 67,708.52 = 12,307 : x
  2. Step 2: Convert to fraction form
    45,139/67,708.52 = 12,307/x
  3. Step 3: Cross multiply
    45,139x = 67,708.52 × 12,307
  4. Step 4: Simplify right side
    45,139x = 833,288,755.64
  5. Step 5: Solve for x
    x = 833,288,755.64/45,139
  6. Step 6: Final answer
    x = 18,460.51

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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.