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Finding the Fourth Proportional to 100,821.78, 151,232.67 and 94,178.16

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Solution

The fourth proportional to 100,821.78, 151,232.67 and 94,178.16 is: 141,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,821.78 : 151,232.67 = 94,178.16 : x
  2. Step 2: Convert to fraction form
    100,821.78/151,232.67 = 94,178.16/x
  3. Step 3: Cross multiply
    100,821.78x = 151,232.67 × 94,178.16
  4. Step 4: Simplify right side
    100,821.78x = 14,242,814,121.60
  5. Step 5: Solve for x
    x = 14,242,814,121.60/100,821.78
  6. Step 6: Final answer
    x = 141,267.24

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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.