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Finding the Fourth Proportional to 100,998, 151,561.80 and 45,594

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Solution

The fourth proportional to 100,998, 151,561.80 and 45,594 is: 68,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,998 : 151,561.80 = 45,594 : x
  2. Step 2: Convert to fraction form
    100,998/151,561.80 = 45,594/x
  3. Step 3: Cross multiply
    100,998x = 151,561.80 × 45,594
  4. Step 4: Simplify right side
    100,998x = 6,910,308,709.20
  5. Step 5: Solve for x
    x = 6,910,308,709.20/100,998
  6. Step 6: Final answer
    x = 68,420.25

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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.