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Finding the Fourth Proportional to 101,339.86, 152,031.52 and 30,268.10

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Solution

The fourth proportional to 101,339.86, 152,031.52 and 30,268.10 is: 45,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,339.86 : 152,031.52 = 30,268.10 : x
  2. Step 2: Convert to fraction form
    101,339.86/152,031.52 = 30,268.10/x
  3. Step 3: Cross multiply
    101,339.86x = 152,031.52 × 30,268.10
  4. Step 4: Simplify right side
    101,339.86x = 4,601,705,250.51
  5. Step 5: Solve for x
    x = 4,601,705,250.51/101,339.86
  6. Step 6: Final answer
    x = 45,408.64

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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.