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Finding the Fourth Proportional to 134,428.60, 201,740.10 and 75,201.40

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Solution

The fourth proportional to 134,428.60, 201,740.10 and 75,201.40 is: 112,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,428.60 : 201,740.10 = 75,201.40 : x
  2. Step 2: Convert to fraction form
    134,428.60/201,740.10 = 75,201.40/x
  3. Step 3: Cross multiply
    134,428.60x = 201,740.10 × 75,201.40
  4. Step 4: Simplify right side
    134,428.60x = 15,171,137,956.14
  5. Step 5: Solve for x
    x = 15,171,137,956.14/134,428.60
  6. Step 6: Final answer
    x = 112,856.48

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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.