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Finding the Fourth Proportional to 100,440, 138,601.80 and 55,117.26

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Solution

The fourth proportional to 100,440, 138,601.80 and 55,117.26 is: 76,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,440 : 138,601.80 = 55,117.26 : x
  2. Step 2: Convert to fraction form
    100,440/138,601.80 = 55,117.26/x
  3. Step 3: Cross multiply
    100,440x = 138,601.80 × 55,117.26
  4. Step 4: Simplify right side
    100,440x = 7,639,351,447.07
  5. Step 5: Solve for x
    x = 7,639,351,447.07/100,440
  6. Step 6: Final answer
    x = 76,058.86

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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.