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Finding the Fourth Proportional to 98,111.70, 147,153.73 and 31,543.37

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Solution

The fourth proportional to 98,111.70, 147,153.73 and 31,543.37 is: 47,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,111.70 : 147,153.73 = 31,543.37 : x
  2. Step 2: Convert to fraction form
    98,111.70/147,153.73 = 31,543.37/x
  3. Step 3: Cross multiply
    98,111.70x = 147,153.73 × 31,543.37
  4. Step 4: Simplify right side
    98,111.70x = 4,641,724,289.47
  5. Step 5: Solve for x
    x = 4,641,724,289.47/98,111.70
  6. Step 6: Final answer
    x = 47,310.61

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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.