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Finding the Fourth Proportional to 137,376.33, 189,573.71 and 76,946.01

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Solution

The fourth proportional to 137,376.33, 189,573.71 and 76,946.01 is: 106,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,376.33 : 189,573.71 = 76,946.01 : x
  2. Step 2: Convert to fraction form
    137,376.33/189,573.71 = 76,946.01/x
  3. Step 3: Cross multiply
    137,376.33x = 189,573.71 × 76,946.01
  4. Step 4: Simplify right side
    137,376.33x = 14,586,940,585.40
  5. Step 5: Solve for x
    x = 14,586,940,585.40/137,376.33
  6. Step 6: Final answer
    x = 106,182.34

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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.