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Finding the Fourth Proportional to 97,690.50, 134,813.16 and 52,978.50

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Solution

The fourth proportional to 97,690.50, 134,813.16 and 52,978.50 is: 73,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,690.50 : 134,813.16 = 52,978.50 : x
  2. Step 2: Convert to fraction form
    97,690.50/134,813.16 = 52,978.50/x
  3. Step 3: Cross multiply
    97,690.50x = 134,813.16 × 52,978.50
  4. Step 4: Simplify right side
    97,690.50x = 7,142,198,997.06
  5. Step 5: Solve for x
    x = 7,142,198,997.06/97,690.50
  6. Step 6: Final answer
    x = 73,110.48

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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.