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Finding the Fourth Proportional to 137,359.92, 189,572.64 and 83,676.48

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Solution

The fourth proportional to 137,359.92, 189,572.64 and 83,676.48 is: 115,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,359.92 : 189,572.64 = 83,676.48 : x
  2. Step 2: Convert to fraction form
    137,359.92/189,572.64 = 83,676.48/x
  3. Step 3: Cross multiply
    137,359.92x = 189,572.64 × 83,676.48
  4. Step 4: Simplify right side
    137,359.92x = 15,862,771,219.51
  5. Step 5: Solve for x
    x = 15,862,771,219.51/137,359.92
  6. Step 6: Final answer
    x = 115,483.26

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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.