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Finding the Fourth Proportional to 137,396.50, 189,607.17 and 77,780.50

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Solution

The fourth proportional to 137,396.50, 189,607.17 and 77,780.50 is: 107,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,396.50 : 189,607.17 = 77,780.50 : x
  2. Step 2: Convert to fraction form
    137,396.50/189,607.17 = 77,780.50/x
  3. Step 3: Cross multiply
    137,396.50x = 189,607.17 × 77,780.50
  4. Step 4: Simplify right side
    137,396.50x = 14,747,740,486.19
  5. Step 5: Solve for x
    x = 14,747,740,486.19/137,396.50
  6. Step 6: Final answer
    x = 107,337.09

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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.