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Finding the Fourth Proportional to 102,709.60, 154,064.40 and 85,213.60

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Solution

The fourth proportional to 102,709.60, 154,064.40 and 85,213.60 is: 127,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,709.60 : 154,064.40 = 85,213.60 : x
  2. Step 2: Convert to fraction form
    102,709.60/154,064.40 = 85,213.60/x
  3. Step 3: Cross multiply
    102,709.60x = 154,064.40 × 85,213.60
  4. Step 4: Simplify right side
    102,709.60x = 13,128,382,155.84
  5. Step 5: Solve for x
    x = 13,128,382,155.84/102,709.60
  6. Step 6: Final answer
    x = 127,820.40

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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.