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Finding the Fourth Proportional to 148,871.34, 205,451.64 and 85,207.68

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Solution

The fourth proportional to 148,871.34, 205,451.64 and 85,207.68 is: 117,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,871.34 : 205,451.64 = 85,207.68 : x
  2. Step 2: Convert to fraction form
    148,871.34/205,451.64 = 85,207.68/x
  3. Step 3: Cross multiply
    148,871.34x = 205,451.64 × 85,207.68
  4. Step 4: Simplify right side
    148,871.34x = 17,506,057,596.60
  5. Step 5: Solve for x
    x = 17,506,057,596.60/148,871.34
  6. Step 6: Final answer
    x = 117,591.86

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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.