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Finding the Fourth Proportional to 77,482.88, 106,921.60 and 43,496

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Solution

The fourth proportional to 77,482.88, 106,921.60 and 43,496 is: 60,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,482.88 : 106,921.60 = 43,496 : x
  2. Step 2: Convert to fraction form
    77,482.88/106,921.60 = 43,496/x
  3. Step 3: Cross multiply
    77,482.88x = 106,921.60 × 43,496
  4. Step 4: Simplify right side
    77,482.88x = 4,650,661,913.60
  5. Step 5: Solve for x
    x = 4,650,661,913.60/77,482.88
  6. Step 6: Final answer
    x = 60,021.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.