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Finding the Fourth Proportional to 137,098.80, 189,213.96 and 76,672.80

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Solution

The fourth proportional to 137,098.80, 189,213.96 and 76,672.80 is: 105,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,098.80 : 189,213.96 = 76,672.80 : x
  2. Step 2: Convert to fraction form
    137,098.80/189,213.96 = 76,672.80/x
  3. Step 3: Cross multiply
    137,098.80x = 189,213.96 × 76,672.80
  4. Step 4: Simplify right side
    137,098.80x = 14,507,564,112.29
  5. Step 5: Solve for x
    x = 14,507,564,112.29/137,098.80
  6. Step 6: Final answer
    x = 105,818.32

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1.5x scale

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.