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Finding the Fourth Proportional to 76,670.60, 105,812.07 and 42,691.10

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Solution

The fourth proportional to 76,670.60, 105,812.07 and 42,691.10 is: 58,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,670.60 : 105,812.07 = 42,691.10 : x
  2. Step 2: Convert to fraction form
    76,670.60/105,812.07 = 42,691.10/x
  3. Step 3: Cross multiply
    76,670.60x = 105,812.07 × 42,691.10
  4. Step 4: Simplify right side
    76,670.60x = 4,517,233,661.58
  5. Step 5: Solve for x
    x = 4,517,233,661.58/76,670.60
  6. Step 6: Final answer
    x = 58,917.42

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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.