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Finding the Fourth Proportional to 99,978, 150,041.20 and 47,387.60

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Solution

The fourth proportional to 99,978, 150,041.20 and 47,387.60 is: 71,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,978 : 150,041.20 = 47,387.60 : x
  2. Step 2: Convert to fraction form
    99,978/150,041.20 = 47,387.60/x
  3. Step 3: Cross multiply
    99,978x = 150,041.20 × 47,387.60
  4. Step 4: Simplify right side
    99,978x = 7,110,092,369.12
  5. Step 5: Solve for x
    x = 7,110,092,369.12/99,978
  6. Step 6: Final answer
    x = 71,116.57

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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.