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Finding the Fourth Proportional to 145,272.63, 217,712.12 and 75,201.15

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Solution

The fourth proportional to 145,272.63, 217,712.12 and 75,201.15 is: 112,699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,272.63 : 217,712.12 = 75,201.15 : x
  2. Step 2: Convert to fraction form
    145,272.63/217,712.12 = 75,201.15/x
  3. Step 3: Cross multiply
    145,272.63x = 217,712.12 × 75,201.15
  4. Step 4: Simplify right side
    145,272.63x = 16,372,201,416.93
  5. Step 5: Solve for x
    x = 16,372,201,416.93/145,272.63
  6. Step 6: Final answer
    x = 112,699.83

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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.