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Finding the Fourth Proportional to 100,894.78, 151,356.84 and 30,764.98

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Solution

The fourth proportional to 100,894.78, 151,356.84 and 30,764.98 is: 46,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,894.78 : 151,356.84 = 30,764.98 : x
  2. Step 2: Convert to fraction form
    100,894.78/151,356.84 = 30,764.98/x
  3. Step 3: Cross multiply
    100,894.78x = 151,356.84 × 30,764.98
  4. Step 4: Simplify right side
    100,894.78x = 4,656,490,155.46
  5. Step 5: Solve for x
    x = 4,656,490,155.46/100,894.78
  6. Step 6: Final answer
    x = 46,151.94

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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.