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Finding the Fourth Proportional to 97,962, 135,187.56 and 58,218

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Solution

The fourth proportional to 97,962, 135,187.56 and 58,218 is: 80,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,962 : 135,187.56 = 58,218 : x
  2. Step 2: Convert to fraction form
    97,962/135,187.56 = 58,218/x
  3. Step 3: Cross multiply
    97,962x = 135,187.56 × 58,218
  4. Step 4: Simplify right side
    97,962x = 7,870,349,368.08
  5. Step 5: Solve for x
    x = 7,870,349,368.08/97,962
  6. Step 6: Final answer
    x = 80,340.84

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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.