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Finding the Fourth Proportional to 89,282.40, 133,664.40 and 86,690.40

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Solution

The fourth proportional to 89,282.40, 133,664.40 and 86,690.40 is: 129,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,282.40 : 133,664.40 = 86,690.40 : x
  2. Step 2: Convert to fraction form
    89,282.40/133,664.40 = 86,690.40/x
  3. Step 3: Cross multiply
    89,282.40x = 133,664.40 × 86,690.40
  4. Step 4: Simplify right side
    89,282.40x = 11,587,420,301.76
  5. Step 5: Solve for x
    x = 11,587,420,301.76/89,282.40
  6. Step 6: Final answer
    x = 129,783.92

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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.