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Finding the Fourth Proportional to 81,670.74, 112,708.62 and 47,700.96

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Solution

The fourth proportional to 81,670.74, 112,708.62 and 47,700.96 is: 65,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,670.74 : 112,708.62 = 47,700.96 : x
  2. Step 2: Convert to fraction form
    81,670.74/112,708.62 = 47,700.96/x
  3. Step 3: Cross multiply
    81,670.74x = 112,708.62 × 47,700.96
  4. Step 4: Simplify right side
    81,670.74x = 5,376,309,374.28
  5. Step 5: Solve for x
    x = 5,376,309,374.28/81,670.74
  6. Step 6: Final answer
    x = 65,829.08

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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.