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Finding the Fourth Proportional to 76,652.68, 105,779.94 and 42,660.64

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Solution

The fourth proportional to 76,652.68, 105,779.94 and 42,660.64 is: 58,871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,652.68 : 105,779.94 = 42,660.64 : x
  2. Step 2: Convert to fraction form
    76,652.68/105,779.94 = 42,660.64/x
  3. Step 3: Cross multiply
    76,652.68x = 105,779.94 × 42,660.64
  4. Step 4: Simplify right side
    76,652.68x = 4,512,639,939.56
  5. Step 5: Solve for x
    x = 4,512,639,939.56/76,652.68
  6. Step 6: Final answer
    x = 58,871.26

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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.