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Finding the Fourth Proportional to 102,110.32, 140,892.08 and 61,827.84

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Solution

The fourth proportional to 102,110.32, 140,892.08 and 61,827.84 is: 85,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,110.32 : 140,892.08 = 61,827.84 : x
  2. Step 2: Convert to fraction form
    102,110.32/140,892.08 = 61,827.84/x
  3. Step 3: Cross multiply
    102,110.32x = 140,892.08 × 61,827.84
  4. Step 4: Simplify right side
    102,110.32x = 8,711,052,670.37
  5. Step 5: Solve for x
    x = 8,711,052,670.37/102,110.32
  6. Step 6: Final answer
    x = 85,310.21

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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.