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Finding the Fourth Proportional to 137,374.62, 189,567.81 and 76,116.75

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Solution

The fourth proportional to 137,374.62, 189,567.81 and 76,116.75 is: 105,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,374.62 : 189,567.81 = 76,116.75 : x
  2. Step 2: Convert to fraction form
    137,374.62/189,567.81 = 76,116.75/x
  3. Step 3: Cross multiply
    137,374.62x = 189,567.81 × 76,116.75
  4. Step 4: Simplify right side
    137,374.62x = 14,429,285,601.82
  5. Step 5: Solve for x
    x = 14,429,285,601.82/137,374.62
  6. Step 6: Final answer
    x = 105,036.04

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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.