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Finding the Fourth Proportional to 100,013.68, 149,847.72 and 53,124.40

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Solution

The fourth proportional to 100,013.68, 149,847.72 and 53,124.40 is: 79,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,013.68 : 149,847.72 = 53,124.40 : x
  2. Step 2: Convert to fraction form
    100,013.68/149,847.72 = 53,124.40/x
  3. Step 3: Cross multiply
    100,013.68x = 149,847.72 × 53,124.40
  4. Step 4: Simplify right side
    100,013.68x = 7,960,570,216.37
  5. Step 5: Solve for x
    x = 7,960,570,216.37/100,013.68
  6. Step 6: Final answer
    x = 79,594.81

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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.