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Finding the Fourth Proportional to 75,603.30, 104,289.10 and 47,259.78

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Solution

The fourth proportional to 75,603.30, 104,289.10 and 47,259.78 is: 65,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,603.30 : 104,289.10 = 47,259.78 : x
  2. Step 2: Convert to fraction form
    75,603.30/104,289.10 = 47,259.78/x
  3. Step 3: Cross multiply
    75,603.30x = 104,289.10 × 47,259.78
  4. Step 4: Simplify right side
    75,603.30x = 4,928,679,164.65
  5. Step 5: Solve for x
    x = 4,928,679,164.65/75,603.30
  6. Step 6: Final answer
    x = 65,191.33

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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.