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Finding the Fourth Proportional to 76,507.74, 105,680.43 and 58,820.22

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Solution

The fourth proportional to 76,507.74, 105,680.43 and 58,820.22 is: 81,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,507.74 : 105,680.43 = 58,820.22 : x
  2. Step 2: Convert to fraction form
    76,507.74/105,680.43 = 58,820.22/x
  3. Step 3: Cross multiply
    76,507.74x = 105,680.43 × 58,820.22
  4. Step 4: Simplify right side
    76,507.74x = 6,216,146,142.29
  5. Step 5: Solve for x
    x = 6,216,146,142.29/76,507.74
  6. Step 6: Final answer
    x = 81,248.59

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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.