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Finding the Fourth Proportional to 201,840, 278,548.80 and 112,416

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Solution

The fourth proportional to 201,840, 278,548.80 and 112,416 is: 155,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,840 : 278,548.80 = 112,416 : x
  2. Step 2: Convert to fraction form
    201,840/278,548.80 = 112,416/x
  3. Step 3: Cross multiply
    201,840x = 278,548.80 × 112,416
  4. Step 4: Simplify right side
    201,840x = 31,313,341,900.80
  5. Step 5: Solve for x
    x = 31,313,341,900.80/201,840
  6. Step 6: Final answer
    x = 155,139.43

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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.