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Finding the Fourth Proportional to 100,306, 138,422.28 and 55,594

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Solution

The fourth proportional to 100,306, 138,422.28 and 55,594 is: 76,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,306 : 138,422.28 = 55,594 : x
  2. Step 2: Convert to fraction form
    100,306/138,422.28 = 55,594/x
  3. Step 3: Cross multiply
    100,306x = 138,422.28 × 55,594
  4. Step 4: Simplify right side
    100,306x = 7,695,448,234.32
  5. Step 5: Solve for x
    x = 7,695,448,234.32/100,306
  6. Step 6: Final answer
    x = 76,719.72

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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.