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Finding the Fourth Proportional to 201,785.64, 302,865.18 and 102,016.20

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Solution

The fourth proportional to 201,785.64, 302,865.18 and 102,016.20 is: 153,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,785.64 : 302,865.18 = 102,016.20 : x
  2. Step 2: Convert to fraction form
    201,785.64/302,865.18 = 102,016.20/x
  3. Step 3: Cross multiply
    201,785.64x = 302,865.18 × 102,016.20
  4. Step 4: Simplify right side
    201,785.64x = 30,897,154,775.92
  5. Step 5: Solve for x
    x = 30,897,154,775.92/201,785.64
  6. Step 6: Final answer
    x = 153,118.70

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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.