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Finding the Fourth Proportional to 89,199, 133,807.14 and 30,049.56

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Solution

The fourth proportional to 89,199, 133,807.14 and 30,049.56 is: 45,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,199 : 133,807.14 = 30,049.56 : x
  2. Step 2: Convert to fraction form
    89,199/133,807.14 = 30,049.56/x
  3. Step 3: Cross multiply
    89,199x = 133,807.14 × 30,049.56
  4. Step 4: Simplify right side
    89,199x = 4,020,845,681.86
  5. Step 5: Solve for x
    x = 4,020,845,681.86/89,199
  6. Step 6: Final answer
    x = 45,077.25

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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.