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Finding the Fourth Proportional to 100,422.79, 138,586 and 55,100.76

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Solution

The fourth proportional to 100,422.79, 138,586 and 55,100.76 is: 76,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,422.79 : 138,586 = 55,100.76 : x
  2. Step 2: Convert to fraction form
    100,422.79/138,586 = 55,100.76/x
  3. Step 3: Cross multiply
    100,422.79x = 138,586 × 55,100.76
  4. Step 4: Simplify right side
    100,422.79x = 7,636,193,925.36
  5. Step 5: Solve for x
    x = 7,636,193,925.36/100,422.79
  6. Step 6: Final answer
    x = 76,040.45

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1.5x scale

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.