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Finding the Fourth Proportional to 97,884.84, 135,137.04 and 64,448.04

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Solution

The fourth proportional to 97,884.84, 135,137.04 and 64,448.04 is: 88,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,884.84 : 135,137.04 = 64,448.04 : x
  2. Step 2: Convert to fraction form
    97,884.84/135,137.04 = 64,448.04/x
  3. Step 3: Cross multiply
    97,884.84x = 135,137.04 × 64,448.04
  4. Step 4: Simplify right side
    97,884.84x = 8,709,317,359.40
  5. Step 5: Solve for x
    x = 8,709,317,359.40/97,884.84
  6. Step 6: Final answer
    x = 88,975.14

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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.