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Finding the Fourth Proportional to 137,596.88, 189,904.45 and 83,913.04

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Solution

The fourth proportional to 137,596.88, 189,904.45 and 83,913.04 is: 115,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,596.88 : 189,904.45 = 83,913.04 : x
  2. Step 2: Convert to fraction form
    137,596.88/189,904.45 = 83,913.04/x
  3. Step 3: Cross multiply
    137,596.88x = 189,904.45 × 83,913.04
  4. Step 4: Simplify right side
    137,596.88x = 15,935,459,918.81
  5. Step 5: Solve for x
    x = 15,935,459,918.81/137,596.88
  6. Step 6: Final answer
    x = 115,812.65

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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.