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Finding the Fourth Proportional to 100,681.70, 138,941.27 and 55,362.61

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Solution

The fourth proportional to 100,681.70, 138,941.27 and 55,362.61 is: 76,400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,681.70 : 138,941.27 = 55,362.61 : x
  2. Step 2: Convert to fraction form
    100,681.70/138,941.27 = 55,362.61/x
  3. Step 3: Cross multiply
    100,681.70x = 138,941.27 × 55,362.61
  4. Step 4: Simplify right side
    100,681.70x = 7,692,151,343.91
  5. Step 5: Solve for x
    x = 7,692,151,343.91/100,681.70
  6. Step 6: Final answer
    x = 76,400.69

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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.