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Finding the Fourth Proportional to 114,878.58, 172,402.11 and 75,421.86

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Solution

The fourth proportional to 114,878.58, 172,402.11 and 75,421.86 is: 113,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,878.58 : 172,402.11 = 75,421.86 : x
  2. Step 2: Convert to fraction form
    114,878.58/172,402.11 = 75,421.86/x
  3. Step 3: Cross multiply
    114,878.58x = 172,402.11 × 75,421.86
  4. Step 4: Simplify right side
    114,878.58x = 13,002,887,804.12
  5. Step 5: Solve for x
    x = 13,002,887,804.12/114,878.58
  6. Step 6: Final answer
    x = 113,188.10

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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.