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Finding the Fourth Proportional to 76,396.63, 114,781.76 and 72,147.86

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Solution

The fourth proportional to 76,396.63, 114,781.76 and 72,147.86 is: 108,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,396.63 : 114,781.76 = 72,147.86 : x
  2. Step 2: Convert to fraction form
    76,396.63/114,781.76 = 72,147.86/x
  3. Step 3: Cross multiply
    76,396.63x = 114,781.76 × 72,147.86
  4. Step 4: Simplify right side
    76,396.63x = 8,281,258,547.80
  5. Step 5: Solve for x
    x = 8,281,258,547.80/76,396.63
  6. Step 6: Final answer
    x = 108,398.22

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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.