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Finding the Fourth Proportional to 100,460, 150,686.36 and 30,337.52

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Solution

The fourth proportional to 100,460, 150,686.36 and 30,337.52 is: 45,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,460 : 150,686.36 = 30,337.52 : x
  2. Step 2: Convert to fraction form
    100,460/150,686.36 = 30,337.52/x
  3. Step 3: Cross multiply
    100,460x = 150,686.36 × 30,337.52
  4. Step 4: Simplify right side
    100,460x = 4,571,450,460.23
  5. Step 5: Solve for x
    x = 4,571,450,460.23/100,460
  6. Step 6: Final answer
    x = 45,505.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.