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Finding the Fourth Proportional to 105,147.52, 157,660.68 and 71,907.87

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Solution

The fourth proportional to 105,147.52, 157,660.68 and 71,907.87 is: 107,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,147.52 : 157,660.68 = 71,907.87 : x
  2. Step 2: Convert to fraction form
    105,147.52/157,660.68 = 71,907.87/x
  3. Step 3: Cross multiply
    105,147.52x = 157,660.68 × 71,907.87
  4. Step 4: Simplify right side
    105,147.52x = 11,337,043,681.55
  5. Step 5: Solve for x
    x = 11,337,043,681.55/105,147.52
  6. Step 6: Final answer
    x = 107,820.36

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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.