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Finding the Fourth Proportional to 76,609.64, 114,797.18 and 51,557

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Solution

The fourth proportional to 76,609.64, 114,797.18 and 51,557 is: 77,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,609.64 : 114,797.18 = 51,557 : x
  2. Step 2: Convert to fraction form
    76,609.64/114,797.18 = 51,557/x
  3. Step 3: Cross multiply
    76,609.64x = 114,797.18 × 51,557
  4. Step 4: Simplify right side
    76,609.64x = 5,918,598,209.26
  5. Step 5: Solve for x
    x = 5,918,598,209.26/76,609.64
  6. Step 6: Final answer
    x = 77,256.57

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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.