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Finding the Fourth Proportional to 75,000, 112,444.47 and 45,410.88

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Solution

The fourth proportional to 75,000, 112,444.47 and 45,410.88 is: 68,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,000 : 112,444.47 = 45,410.88 : x
  2. Step 2: Convert to fraction form
    75,000/112,444.47 = 45,410.88/x
  3. Step 3: Cross multiply
    75,000x = 112,444.47 × 45,410.88
  4. Step 4: Simplify right side
    75,000x = 5,106,202,333.83
  5. Step 5: Solve for x
    x = 5,106,202,333.83/75,000
  6. Step 6: Final answer
    x = 68,082.70

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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.