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Finding the Fourth Proportional to 102,090.78, 140,885.73 and 59,640.30

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Solution

The fourth proportional to 102,090.78, 140,885.73 and 59,640.30 is: 82,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,090.78 : 140,885.73 = 59,640.30 : x
  2. Step 2: Convert to fraction form
    102,090.78/140,885.73 = 59,640.30/x
  3. Step 3: Cross multiply
    102,090.78x = 140,885.73 × 59,640.30
  4. Step 4: Simplify right side
    102,090.78x = 8,402,467,202.92
  5. Step 5: Solve for x
    x = 8,402,467,202.92/102,090.78
  6. Step 6: Final answer
    x = 82,303.88

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1.5x scale

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.