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Finding the Fourth Proportional to 97,600.20, 146,181.60 and 77,917.20

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Solution

The fourth proportional to 97,600.20, 146,181.60 and 77,917.20 is: 116,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,600.20 : 146,181.60 = 77,917.20 : x
  2. Step 2: Convert to fraction form
    97,600.20/146,181.60 = 77,917.20/x
  3. Step 3: Cross multiply
    97,600.20x = 146,181.60 × 77,917.20
  4. Step 4: Simplify right side
    97,600.20x = 11,390,060,963.52
  5. Step 5: Solve for x
    x = 11,390,060,963.52/97,600.20
  6. Step 6: Final answer
    x = 116,701.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.