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Finding the Fourth Proportional to 137,513.52, 189,769.09 and 76,264.08

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Solution

The fourth proportional to 137,513.52, 189,769.09 and 76,264.08 is: 105,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,513.52 : 189,769.09 = 76,264.08 : x
  2. Step 2: Convert to fraction form
    137,513.52/189,769.09 = 76,264.08/x
  3. Step 3: Cross multiply
    137,513.52x = 189,769.09 × 76,264.08
  4. Step 4: Simplify right side
    137,513.52x = 14,472,564,676.10
  5. Step 5: Solve for x
    x = 14,472,564,676.10/137,513.52
  6. Step 6: Final answer
    x = 105,244.67

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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.