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Finding the Fourth Proportional to 137,020, 189,063.40 and 76,571.32

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Solution

The fourth proportional to 137,020, 189,063.40 and 76,571.32 is: 105,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,020 : 189,063.40 = 76,571.32 : x
  2. Step 2: Convert to fraction form
    137,020/189,063.40 = 76,571.32/x
  3. Step 3: Cross multiply
    137,020x = 189,063.40 × 76,571.32
  4. Step 4: Simplify right side
    137,020x = 14,476,834,101.69
  5. Step 5: Solve for x
    x = 14,476,834,101.69/137,020
  6. Step 6: Final answer
    x = 105,654.90

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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.