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Finding the Fourth Proportional to 97,875, 135,069.12 and 53,163

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Solution

The fourth proportional to 97,875, 135,069.12 and 53,163 is: 73,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,875 : 135,069.12 = 53,163 : x
  2. Step 2: Convert to fraction form
    97,875/135,069.12 = 53,163/x
  3. Step 3: Cross multiply
    97,875x = 135,069.12 × 53,163
  4. Step 4: Simplify right side
    97,875x = 7,180,679,626.56
  5. Step 5: Solve for x
    x = 7,180,679,626.56/97,875
  6. Step 6: Final answer
    x = 73,365.82

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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.