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Finding the Fourth Proportional to 77,512.70, 116,268.95 and 21,353.12

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Solution

The fourth proportional to 77,512.70, 116,268.95 and 21,353.12 is: 32,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,512.70 : 116,268.95 = 21,353.12 : x
  2. Step 2: Convert to fraction form
    77,512.70/116,268.95 = 21,353.12/x
  3. Step 3: Cross multiply
    77,512.70x = 116,268.95 × 21,353.12
  4. Step 4: Simplify right side
    77,512.70x = 2,482,704,153.51
  5. Step 5: Solve for x
    x = 2,482,704,153.51/77,512.70
  6. Step 6: Final answer
    x = 32,029.65

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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.