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Finding the Fourth Proportional to 100,998.76, 151,498.50 and 30,877.78

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Solution

The fourth proportional to 100,998.76, 151,498.50 and 30,877.78 is: 46,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,998.76 : 151,498.50 = 30,877.78 : x
  2. Step 2: Convert to fraction form
    100,998.76/151,498.50 = 30,877.78/x
  3. Step 3: Cross multiply
    100,998.76x = 151,498.50 × 30,877.78
  4. Step 4: Simplify right side
    100,998.76x = 4,677,937,353.33
  5. Step 5: Solve for x
    x = 4,677,937,353.33/100,998.76
  6. Step 6: Final answer
    x = 46,316.78

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1.5x scale

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.