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Finding the Fourth Proportional to 138,808, 191,551.50 and 77,554.64

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Solution

The fourth proportional to 138,808, 191,551.50 and 77,554.64 is: 107,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,808 : 191,551.50 = 77,554.64 : x
  2. Step 2: Convert to fraction form
    138,808/191,551.50 = 77,554.64/x
  3. Step 3: Cross multiply
    138,808x = 191,551.50 × 77,554.64
  4. Step 4: Simplify right side
    138,808x = 14,855,707,623.96
  5. Step 5: Solve for x
    x = 14,855,707,623.96/138,808
  6. Step 6: Final answer
    x = 107,023.43

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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.