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Finding the Fourth Proportional to 138,690.94, 208,045.05 and 55,574.14

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Solution

The fourth proportional to 138,690.94, 208,045.05 and 55,574.14 is: 83,364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,690.94 : 208,045.05 = 55,574.14 : x
  2. Step 2: Convert to fraction form
    138,690.94/208,045.05 = 55,574.14/x
  3. Step 3: Cross multiply
    138,690.94x = 208,045.05 × 55,574.14
  4. Step 4: Simplify right side
    138,690.94x = 11,561,924,735.01
  5. Step 5: Solve for x
    x = 11,561,924,735.01/138,690.94
  6. Step 6: Final answer
    x = 83,364.67

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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.