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Finding the Fourth Proportional to 137,593.84, 189,868.44 and 76,342

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Solution

The fourth proportional to 137,593.84, 189,868.44 and 76,342 is: 105,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,593.84 : 189,868.44 = 76,342 : x
  2. Step 2: Convert to fraction form
    137,593.84/189,868.44 = 76,342/x
  3. Step 3: Cross multiply
    137,593.84x = 189,868.44 × 76,342
  4. Step 4: Simplify right side
    137,593.84x = 14,494,936,446.48
  5. Step 5: Solve for x
    x = 14,494,936,446.48/137,593.84
  6. Step 6: Final answer
    x = 105,345.82

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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.