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Finding the Fourth Proportional to 138,859.44, 208,148.89 and 54,678.67

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Solution

The fourth proportional to 138,859.44, 208,148.89 and 54,678.67 is: 81,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,859.44 : 208,148.89 = 54,678.67 : x
  2. Step 2: Convert to fraction form
    138,859.44/208,148.89 = 54,678.67/x
  3. Step 3: Cross multiply
    138,859.44x = 208,148.89 × 54,678.67
  4. Step 4: Simplify right side
    138,859.44x = 11,381,304,193.78
  5. Step 5: Solve for x
    x = 11,381,304,193.78/138,859.44
  6. Step 6: Final answer
    x = 81,962.77

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1.5x scale

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.