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Finding the Fourth Proportional to 138,810.56, 208,254.72 and 55,762.88

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Solution

The fourth proportional to 138,810.56, 208,254.72 and 55,762.88 is: 83,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,810.56 : 208,254.72 = 55,762.88 : x
  2. Step 2: Convert to fraction form
    138,810.56/208,254.72 = 55,762.88/x
  3. Step 3: Cross multiply
    138,810.56x = 208,254.72 × 55,762.88
  4. Step 4: Simplify right side
    138,810.56x = 11,612,882,960.79
  5. Step 5: Solve for x
    x = 11,612,882,960.79/138,810.56
  6. Step 6: Final answer
    x = 83,659.94

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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.