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Finding the Fourth Proportional to 134,077.60, 200,988.40 and 49,815.20

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Solution

The fourth proportional to 134,077.60, 200,988.40 and 49,815.20 is: 74,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,077.60 : 200,988.40 = 49,815.20 : x
  2. Step 2: Convert to fraction form
    134,077.60/200,988.40 = 49,815.20/x
  3. Step 3: Cross multiply
    134,077.60x = 200,988.40 × 49,815.20
  4. Step 4: Simplify right side
    134,077.60x = 10,012,277,343.68
  5. Step 5: Solve for x
    x = 10,012,277,343.68/134,077.60
  6. Step 6: Final answer
    x = 74,675.24

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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.