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Finding the Fourth Proportional to 76,518.28, 114,784.02 and 21,114.28

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Solution

The fourth proportional to 76,518.28, 114,784.02 and 21,114.28 is: 31,673.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,518.28 : 114,784.02 = 21,114.28 : x
  2. Step 2: Convert to fraction form
    76,518.28/114,784.02 = 21,114.28/x
  3. Step 3: Cross multiply
    76,518.28x = 114,784.02 × 21,114.28
  4. Step 4: Simplify right side
    76,518.28x = 2,423,581,937.81
  5. Step 5: Solve for x
    x = 2,423,581,937.81/76,518.28
  6. Step 6: Final answer
    x = 31,673.24

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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.