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Finding the Fourth Proportional to 76,773.64, 105,947.40 and 42,782.44

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Solution

The fourth proportional to 76,773.64, 105,947.40 and 42,782.44 is: 59,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,773.64 : 105,947.40 = 42,782.44 : x
  2. Step 2: Convert to fraction form
    76,773.64/105,947.40 = 42,782.44/x
  3. Step 3: Cross multiply
    76,773.64x = 105,947.40 × 42,782.44
  4. Step 4: Simplify right side
    76,773.64x = 4,532,688,283.66
  5. Step 5: Solve for x
    x = 4,532,688,283.66/76,773.64
  6. Step 6: Final answer
    x = 59,039.64

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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.