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Finding the Fourth Proportional to 137,395, 189,605.10 and 77,779

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Solution

The fourth proportional to 137,395, 189,605.10 and 77,779 is: 107,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,395 : 189,605.10 = 77,779 : x
  2. Step 2: Convert to fraction form
    137,395/189,605.10 = 77,779/x
  3. Step 3: Cross multiply
    137,395x = 189,605.10 × 77,779
  4. Step 4: Simplify right side
    137,395x = 14,747,295,072.90
  5. Step 5: Solve for x
    x = 14,747,295,072.90/137,395
  6. Step 6: Final answer
    x = 107,335.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.