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Finding the Fourth Proportional to 77,679.84, 116,549.28 and 30,965.76

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Solution

The fourth proportional to 77,679.84, 116,549.28 and 30,965.76 is: 46,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,679.84 : 116,549.28 = 30,965.76 : x
  2. Step 2: Convert to fraction form
    77,679.84/116,549.28 = 30,965.76/x
  3. Step 3: Cross multiply
    77,679.84x = 116,549.28 × 30,965.76
  4. Step 4: Simplify right side
    77,679.84x = 3,609,037,032.65
  5. Step 5: Solve for x
    x = 3,609,037,032.65/77,679.84
  6. Step 6: Final answer
    x = 46,460.41

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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.