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Finding the Fourth Proportional to 85,433.84, 128,214.90 and 32,178.36

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Solution

The fourth proportional to 85,433.84, 128,214.90 and 32,178.36 is: 48,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,433.84 : 128,214.90 = 32,178.36 : x
  2. Step 2: Convert to fraction form
    85,433.84/128,214.90 = 32,178.36/x
  3. Step 3: Cross multiply
    85,433.84x = 128,214.90 × 32,178.36
  4. Step 4: Simplify right side
    85,433.84x = 4,125,745,690.37
  5. Step 5: Solve for x
    x = 4,125,745,690.37/85,433.84
  6. Step 6: Final answer
    x = 48,291.70

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1.5x scale

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.