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Finding the Fourth Proportional to 100,583.26, 138,807.35 and 55,264.18

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Solution

The fourth proportional to 100,583.26, 138,807.35 and 55,264.18 is: 76,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,583.26 : 138,807.35 = 55,264.18 : x
  2. Step 2: Convert to fraction form
    100,583.26/138,807.35 = 55,264.18/x
  3. Step 3: Cross multiply
    100,583.26x = 138,807.35 × 55,264.18
  4. Step 4: Simplify right side
    100,583.26x = 7,671,074,454.85
  5. Step 5: Solve for x
    x = 7,671,074,454.85/100,583.26
  6. Step 6: Final answer
    x = 76,265.92

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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.