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Finding the Fourth Proportional to 126,492.48, 189,836.64 and 47,678.40

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Solution

The fourth proportional to 126,492.48, 189,836.64 and 47,678.40 is: 71,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,492.48 : 189,836.64 = 47,678.40 : x
  2. Step 2: Convert to fraction form
    126,492.48/189,836.64 = 47,678.40/x
  3. Step 3: Cross multiply
    126,492.48x = 189,836.64 × 47,678.40
  4. Step 4: Simplify right side
    126,492.48x = 9,051,107,256.58
  5. Step 5: Solve for x
    x = 9,051,107,256.58/126,492.48
  6. Step 6: Final answer
    x = 71,554.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.