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Finding the Fourth Proportional to 76,862, 106,157.04 and 51,667.76

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Solution

The fourth proportional to 76,862, 106,157.04 and 51,667.76 is: 71,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,862 : 106,157.04 = 51,667.76 : x
  2. Step 2: Convert to fraction form
    76,862/106,157.04 = 51,667.76/x
  3. Step 3: Cross multiply
    76,862x = 106,157.04 × 51,667.76
  4. Step 4: Simplify right side
    76,862x = 5,484,896,465.03
  5. Step 5: Solve for x
    x = 5,484,896,465.03/76,862
  6. Step 6: Final answer
    x = 71,360.31

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