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Finding the Fourth Proportional to 100,078, 150,117.06 and 47,458.84

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Solution

The fourth proportional to 100,078, 150,117.06 and 47,458.84 is: 71,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,078 : 150,117.06 = 47,458.84 : x
  2. Step 2: Convert to fraction form
    100,078/150,117.06 = 47,458.84/x
  3. Step 3: Cross multiply
    100,078x = 150,117.06 × 47,458.84
  4. Step 4: Simplify right side
    100,078x = 7,124,381,531.81
  5. Step 5: Solve for x
    x = 7,124,381,531.81/100,078
  6. Step 6: Final answer
    x = 71,188.29

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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.