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Finding the Fourth Proportional to 75,624.36, 104,380.86 and 45,411

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Solution

The fourth proportional to 75,624.36, 104,380.86 and 45,411 is: 62,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,624.36 : 104,380.86 = 45,411 : x
  2. Step 2: Convert to fraction form
    75,624.36/104,380.86 = 45,411/x
  3. Step 3: Cross multiply
    75,624.36x = 104,380.86 × 45,411
  4. Step 4: Simplify right side
    75,624.36x = 4,740,039,233.46
  5. Step 5: Solve for x
    x = 4,740,039,233.46/75,624.36
  6. Step 6: Final answer
    x = 62,678.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.