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Finding the Fourth Proportional to 85,845.84, 128,744.13 and 25,880.16

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Solution

The fourth proportional to 85,845.84, 128,744.13 and 25,880.16 is: 38,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,845.84 : 128,744.13 = 25,880.16 : x
  2. Step 2: Convert to fraction form
    85,845.84/128,744.13 = 25,880.16/x
  3. Step 3: Cross multiply
    85,845.84x = 128,744.13 × 25,880.16
  4. Step 4: Simplify right side
    85,845.84x = 3,331,918,683.46
  5. Step 5: Solve for x
    x = 3,331,918,683.46/85,845.84
  6. Step 6: Final answer
    x = 38,812.81

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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.