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Finding the Fourth Proportional to 137,211.84, 189,351 and 76,782.60

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Solution

The fourth proportional to 137,211.84, 189,351 and 76,782.60 is: 105,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,211.84 : 189,351 = 76,782.60 : x
  2. Step 2: Convert to fraction form
    137,211.84/189,351 = 76,782.60/x
  3. Step 3: Cross multiply
    137,211.84x = 189,351 × 76,782.60
  4. Step 4: Simplify right side
    137,211.84x = 14,538,862,092.60
  5. Step 5: Solve for x
    x = 14,538,862,092.60/137,211.84
  6. Step 6: Final answer
    x = 105,959.24

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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.