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Finding the Fourth Proportional to 97,916, 135,124.08 and 58,172

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Solution

The fourth proportional to 97,916, 135,124.08 and 58,172 is: 80,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,916 : 135,124.08 = 58,172 : x
  2. Step 2: Convert to fraction form
    97,916/135,124.08 = 58,172/x
  3. Step 3: Cross multiply
    97,916x = 135,124.08 × 58,172
  4. Step 4: Simplify right side
    97,916x = 7,860,437,981.76
  5. Step 5: Solve for x
    x = 7,860,437,981.76/97,916
  6. Step 6: Final answer
    x = 80,277.36

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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.