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Finding the Fourth Proportional to 137,641.40, 189,744.08 and 97,283.96

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Solution

The fourth proportional to 137,641.40, 189,744.08 and 97,283.96 is: 134,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,641.40 : 189,744.08 = 97,283.96 : x
  2. Step 2: Convert to fraction form
    137,641.40/189,744.08 = 97,283.96/x
  3. Step 3: Cross multiply
    137,641.40x = 189,744.08 × 97,283.96
  4. Step 4: Simplify right side
    137,641.40x = 18,459,055,972.86
  5. Step 5: Solve for x
    x = 18,459,055,972.86/137,641.40
  6. Step 6: Final answer
    x = 134,109.76

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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.