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Finding the Fourth Proportional to 137,294.78, 189,477.28 and 79,160.96

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Solution

The fourth proportional to 137,294.78, 189,477.28 and 79,160.96 is: 109,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,294.78 : 189,477.28 = 79,160.96 : x
  2. Step 2: Convert to fraction form
    137,294.78/189,477.28 = 79,160.96/x
  3. Step 3: Cross multiply
    137,294.78x = 189,477.28 × 79,160.96
  4. Step 4: Simplify right side
    137,294.78x = 14,999,203,382.99
  5. Step 5: Solve for x
    x = 14,999,203,382.99/137,294.78
  6. Step 6: Final answer
    x = 109,248.17

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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.