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Finding the Fourth Proportional to 97,940.70, 146,911.05 and 42,644.70

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Solution

The fourth proportional to 97,940.70, 146,911.05 and 42,644.70 is: 63,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,940.70 : 146,911.05 = 42,644.70 : x
  2. Step 2: Convert to fraction form
    97,940.70/146,911.05 = 42,644.70/x
  3. Step 3: Cross multiply
    97,940.70x = 146,911.05 × 42,644.70
  4. Step 4: Simplify right side
    97,940.70x = 6,264,977,653.94
  5. Step 5: Solve for x
    x = 6,264,977,653.94/97,940.70
  6. Step 6: Final answer
    x = 63,967.05

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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.