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Finding the Fourth Proportional to 105,989.70, 146,322.64 and 81,737.62

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Solution

The fourth proportional to 105,989.70, 146,322.64 and 81,737.62 is: 112,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,989.70 : 146,322.64 = 81,737.62 : x
  2. Step 2: Convert to fraction form
    105,989.70/146,322.64 = 81,737.62/x
  3. Step 3: Cross multiply
    105,989.70x = 146,322.64 × 81,737.62
  4. Step 4: Simplify right side
    105,989.70x = 11,960,064,345.72
  5. Step 5: Solve for x
    x = 11,960,064,345.72/105,989.70
  6. Step 6: Final answer
    x = 112,841.76

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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.