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Finding the Fourth Proportional to 98,033.49, 146,978.55 and 31,435.70

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Solution

The fourth proportional to 98,033.49, 146,978.55 and 31,435.70 is: 47,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,033.49 : 146,978.55 = 31,435.70 : x
  2. Step 2: Convert to fraction form
    98,033.49/146,978.55 = 31,435.70/x
  3. Step 3: Cross multiply
    98,033.49x = 146,978.55 × 31,435.70
  4. Step 4: Simplify right side
    98,033.49x = 4,620,372,869.34
  5. Step 5: Solve for x
    x = 4,620,372,869.34/98,033.49
  6. Step 6: Final answer
    x = 47,130.56

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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.