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Finding the Fourth Proportional to 76,398.63, 114,784.76 and 72,149.86

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Solution

The fourth proportional to 76,398.63, 114,784.76 and 72,149.86 is: 108,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,398.63 : 114,784.76 = 72,149.86 : x
  2. Step 2: Convert to fraction form
    76,398.63/114,784.76 = 72,149.86/x
  3. Step 3: Cross multiply
    76,398.63x = 114,784.76 × 72,149.86
  4. Step 4: Simplify right side
    76,398.63x = 8,281,704,364.13
  5. Step 5: Solve for x
    x = 8,281,704,364.13/76,398.63
  6. Step 6: Final answer
    x = 108,401.22

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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.